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Comprehensive Notes for Business Mathematics - ABM 1st Semester

13

0

S

sam โ‹†๐™šโ‚ŠหšโŠนโ™ก

11/24/2025

Business Math

Business Mathematics - 1st Sem

471

โ€ข

Nob 24, 2025

โ€ข

12 mga pahina

Comprehensive Notes for Business Mathematics - ABM 1st Semester

S

sam โ‹†๐™šโ‚ŠหšโŠนโ™ก

@samantha.badiola_

Ever wondered how to deal with parts of a whole,... Ipakita pa

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BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

What Are Fractions?

Think about eating 2 slices from an 8-slice pizza โ€“ you've just experienced a fraction! A fraction represents part of something that's been divided into equal pieces.

Fractions have two main parts: the numerator (top number) shows how many parts you have, while the denominator (bottom number) shows the total number of equal parts. So 2/8 means you have 2 parts out of 8 total parts.

There are three types of fractions you'll encounter. Proper fractions have smaller numerators than denominators like3/5like 3/5. Improper fractions have larger numerators like7/4like 7/4. Mixed numbers combine whole numbers with fractions like21/3like 2 1/3.

Quick Tip: Remember that all parts in a fraction must be equal in size โ€“ you can't have one huge pizza slice and seven tiny ones!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Mathematical Operations with Fractions

Adding fractions is actually pretty straightforward once you get the hang of it! When fractions have the same denominator, just add the numerators and keep the denominator unchanged. For example: 2/8 + 3/8 = 5/8.

Things get trickier with different denominators. You'll need to find the Least Common Multiple (LCM) of the denominators first. Then convert both fractions to have this common denominator before adding. Like adding 2/5 + 3/4: find LCM of 20, convert to 8/20 + 15/20 = 23/20.

Subtracting fractions follows the exact same rules as addition โ€“ just subtract instead of add! Multiplying is actually easier: multiply numerator ร— numerator and denominator ร— denominator. For division, flip the second fraction upside down and multiply instead.

Remember: Converting fractions to have common denominators is like making sure you're comparing apples to apples!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Ratios and Proportions

A ratio compares two quantities by division and shows their relationship. You can write ratios using colons (3:5), fractions (3/5), or words ("3 to 5"). The first number is the antecedent, and the second is the consequent.

Proportions occur when two ratios are equal, like 3:5 :: 15:25. This creates a powerful tool for solving problems because the product of extremes equals the product of means. In other words, if a:b :: c:d, then a ร— d = b ร— c.

Understanding the difference helps in real situations. Ratios compare quantities (like comparing test scores), while proportions help solve for unknown values (like figuring out ingredient amounts when doubling a recipe).

Pro Tip: Use the cross-multiplication rule to quickly check if two ratios form a proportion!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Introduction to Commercial Math

Commercial math is all about the math you actually use in everyday life! Whether you're calculating the best deal at a store, figuring out tips, or managing your allowance, these skills are super practical.

Think about real scenarios: your friend needs to find the cost of one notebook when 12 cost โ‚ฑ200, or you want to compare a 25% discount versus a free gift offer. These situations require understanding percentages, unitary method, and profit and loss concepts.

Key topics in commercial math include money management, calculating simple and compound interest, understanding discounts and taxes, and analyzing profit and loss. These aren't just school subjects โ€“ they're life skills that'll help you make smart financial decisions.

Real Talk: Mastering these concepts now means you'll never get ripped off during shopping or confused about loan calculations later!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Money, Percentages, and Unitary Method

Money is the foundation of commercial math โ€“ understanding denominations and making change are basic but essential skills. Whether dealing with dollars, rupees, or pesos, the principles remain the same.

Percentages represent parts out of 100 and are everywhere in daily life! When you see "30% off" or "scored 85%," you're dealing with percentages. To calculate: 30% of 750 = (30/100) ร— 750 = 225. The symbol % literally means "out of 100."

The unitary method helps find "per unit value" โ€“ super useful for comparing prices or calculating quantities. If 4 lemons cost 20,then1lemoncosts20, then 1 lemon costs 5, so 10 lemons cost $50. First find the unit value, then multiply for your answer.

Money Smart: Always use the unitary method to compare prices โ€“ it reveals the best deals instantly!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Profit, Loss, and Interest Calculations

Profit and loss drive business decisions everywhere! Profit happens when selling price > cost price, while loss occurs when cost price > selling price. These simple formulas help determine if a business deal is worth it.

Simple interest is straightforward: SI = (P ร— R ร— T)/100, where P is principal, R is rate, and T is time. If you lend โ‚ฑ1000 at 10% for 2 years, you'll earn โ‚ฑ200 interest. Banks often use this for basic calculations.

Compound interest is more complex but powerful โ€“ you earn interest on your interest! The formula CI = P1+R/1001 + R/100^T - P shows how money grows exponentially over time. This is why starting to save early makes such a huge difference.

Financial Wisdom: Compound interest is your best friend when saving, but your worst enemy when borrowing!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Discounts and Taxes

Discounts reduce prices and are calculated as: Discount = Marked Price - Selling Price. The discount percentage = Discount/MarkedPriceDiscount/Marked Price ร— 100. Understanding this helps you evaluate whether "50% off" is really better than "buy one, get one free."

Taxes are fees the government adds to purchases for public welfare. If chocolates cost โ‚ฑ50 with 10% service tax, your total bill becomes โ‚ฑ50 + โ‚ฑ5 = โ‚ฑ55. Always factor taxes into your budget planning.

These calculations help you become a smarter consumer. You'll know the true cost of purchases and can compare deals accurately. Whether it's GST, income tax, or service tax, the mathematical principles stay consistent.

Shopping Hack: Always calculate the final price including taxes before deciding if a deal is worth it!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Data Handling and Graphs

Data handling is about collecting, organizing, and presenting information to make smart decisions. Everything around you generates data โ€“ from test scores to weather patterns to social media likes.

Bar graphs use rectangular bars to compare different categories, making it easy to see which values are larger or smaller. Line graphs show changes over time, perfect for tracking trends like your grades throughout the semester.

Pictographs use pictures and symbols to represent data โ€“ they're simple but effective for showing information visually. Think of them as the emoji version of data presentation!

Data Detective: The right graph type makes complex information instantly understandable โ€“ choose wisely!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Advanced Data Visualization

Pie charts show how parts make up a whole using circular sectors โ€“ perfect for displaying percentages or proportions. If 360 students were surveyed about favorite fruits, each degree represents one student's preference.

Scatter plots reveal relationships between two variables by plotting points and drawing trend lines. They're great for seeing if there's a connection between things like study time and test scores.

Each graph type serves different purposes. Use bar graphs for comparing categories, line graphs for trends over time, pie charts for showing parts of a whole, and scatter plots for finding relationships between variables.

Visualization Power: The right graph can reveal patterns that aren't obvious in raw numbers โ€“ data becomes your superpower!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Gross vs Net Income

Understanding gross vs net income is crucial for financial literacy. Gross income is your total earnings before any deductions โ€“ salary, allowances, bonuses, everything combined.

Net income is what you actually take home after taxes, insurance, and other deductions are removed. If you earn โ‚ฑ6,500 gross but pay โ‚ฑ1,000 in taxes and deductions, your net income is โ‚ฑ5,500.

For companies, gross income = Revenue - Cost of Goods Sold (COGS). This shows profit before operating expenses. Understanding both personal and business income calculations helps you make informed financial decisions.

Reality Check: Always budget based on net income, not gross โ€“ that's the money you actually have to spend!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a
BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a


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Napakadaling gamitin at maganda ang disenyo ng app. Nahanap ko lahat ng hinahanap ko hanggang ngayon at natuto ako ng marami mula sa mga presentasyon! Tiyak na gagamitin ko ang app para sa isang takdang-aralin sa klase! At siyempre, nakakatulong din ito bilang inspirasyon.

Stefan S

gumagamit ng iOS

Sobrang ganda talaga ng app na ito. Maraming mga study notes at tulong [...]. Ang problemang subject ko ay Pranses, halimbawa, at ang app ay may maraming options para tumulong. Salamat sa app na ito, bumuti ang Pranses ko. Irerekumenda ko ito sa lahat.

Samantha Klich

Android user

Wow, talagang namangha ako. Sinubukan ko lang ang app dahil nakita ko itong ina-advertise nang maraming beses at sobrang nagulat ako. Ang app na ito ang TULONG na gusto mo para sa paaralan at higit sa lahat, nag-aalok ito ng maraming bagay, tulad ng workouts at fact sheets, na SOBRANG nakatulong sa akin.

Anna

iOS user

Pinakamagandang app sa mundo! walang masabi dahil sobrang ganda nito

Thomas R

iOS user

Napakaganda talaga. Nakakapag-review ako ng 10x mas mabuti, itong app ay mabilis na 10/10. Lubos kong inirerekomenda ito sa lahat. Pwede akong manood at maghanap ng notes. Pwede kong i-save ang mga ito sa subject folder. Pwede kong i-review anumang oras kapag bumalik ako. Kung hindi mo pa nasubukan ang app na ito, marami kang nawawala.

Basil

Android user

Ang app na ito ay nagpapalakas ng loob ko sa paghahanda sa exams, hindi lang dahil sa pagpapataas ng aking kumpiyansa sa sarili sa pamamagitan ng mga feature na nagpapahintulot sa iyo na makipag-connect sa iba at mabawasan ang pakiramdam na nag-iisa, kundi pati na rin sa paraan na nakatuon ang app sa pagpapagaan ng iyong pakiramdam. Madali itong i-navigate, masaya gamitin, at nakakatulong sa sinumang nahihirapan sa kahit anong paraan.

David K

iOS user

Sobrang galing ng app! Ilalagay ko lang ang paksa sa search bar at makakakuha na ako ng sagot kaagad. Hindi ko kailangang manood ng 10 YouTube videos para maintindihan ang isang bagay, kaya nakakatipid ako ng oras. Lubos na inirerekomenda!

Sudenaz Ocak

Android user

Sa paaralan, napakahina ko sa math pero salamat sa app, mas mahusay na ako ngayon. Lubos akong nagpapasalamat na ginawa niyo ang app na ito.

Greenlight Bonnie

Android user

napakareliable na app para tumulong at palawakin ang iyong mga ideya sa Math, English at iba pang mga related na paksa sa iyong mga gawain. gamitin mo ang app na ito kung nahihirapan ka sa mga area, susi ito para diyan. sana nag-review na ako dati. at libre rin ito kaya huwag mag-alala tungkol diyan.

Rohan U

Android user

Alam kong maraming apps gumagamit ng fake accounts para mapataas ang kanilang reviews pero ang app na ito ay deserve lahat ng papuri. Dati nakakakuha ako ng 4 sa aking English exams at ngayon nakakuha ako ng grade 7. Hindi ko pa alam ang app na ito tatlong araw bago ang exam at nakatulong ito ng SOBRA. Pakisuyong maniwala sa akin at gamitin ito dahil sigurado akong makikita mo rin ang mga pagbabago.

Xander S

iOS user

SOBRANG KAPAKI-PAKINABANG NG MGA QUIZZES AT FLASHCARDS AT SOBRANG GUSTO KO ANG SCHOOLGPT. PARANG CHATGPT DIN PERO MAS MATALINO!! TINULUNGAN DIN AKO SA AKING MASCARA PROBLEMS!! PATI NA RIN SA AKING TUNAY NA MGA SUBJECTS! DUHHH ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

Elisha

iOS user

Grabe talaga ang app na to. Sobrang nakakaboring sakin ang pagreview pero ginagawa ng app na to na sobrang dali mag-organize ng lahat at pwede mong tanungin ang libreng ai para subukin ang sarili mo kaya sobrang buti at madali mong ma-upload ang sarili mong mga bagay. highly recommend bilang isang taong nagte-take ng mocks ngayon

Paul T

iOS user

Napakadaling gamitin at maganda ang disenyo ng app. Nahanap ko lahat ng hinahanap ko hanggang ngayon at natuto ako ng marami mula sa mga presentasyon! Tiyak na gagamitin ko ang app para sa isang takdang-aralin sa klase! At siyempre, nakakatulong din ito bilang inspirasyon.

Stefan S

gumagamit ng iOS

Sobrang ganda talaga ng app na ito. Maraming mga study notes at tulong [...]. Ang problemang subject ko ay Pranses, halimbawa, at ang app ay may maraming options para tumulong. Salamat sa app na ito, bumuti ang Pranses ko. Irerekumenda ko ito sa lahat.

Samantha Klich

Android user

Wow, talagang namangha ako. Sinubukan ko lang ang app dahil nakita ko itong ina-advertise nang maraming beses at sobrang nagulat ako. Ang app na ito ang TULONG na gusto mo para sa paaralan at higit sa lahat, nag-aalok ito ng maraming bagay, tulad ng workouts at fact sheets, na SOBRANG nakatulong sa akin.

Anna

iOS user

Pinakamagandang app sa mundo! walang masabi dahil sobrang ganda nito

Thomas R

iOS user

Napakaganda talaga. Nakakapag-review ako ng 10x mas mabuti, itong app ay mabilis na 10/10. Lubos kong inirerekomenda ito sa lahat. Pwede akong manood at maghanap ng notes. Pwede kong i-save ang mga ito sa subject folder. Pwede kong i-review anumang oras kapag bumalik ako. Kung hindi mo pa nasubukan ang app na ito, marami kang nawawala.

Basil

Android user

Ang app na ito ay nagpapalakas ng loob ko sa paghahanda sa exams, hindi lang dahil sa pagpapataas ng aking kumpiyansa sa sarili sa pamamagitan ng mga feature na nagpapahintulot sa iyo na makipag-connect sa iba at mabawasan ang pakiramdam na nag-iisa, kundi pati na rin sa paraan na nakatuon ang app sa pagpapagaan ng iyong pakiramdam. Madali itong i-navigate, masaya gamitin, at nakakatulong sa sinumang nahihirapan sa kahit anong paraan.

David K

iOS user

Sobrang galing ng app! Ilalagay ko lang ang paksa sa search bar at makakakuha na ako ng sagot kaagad. Hindi ko kailangang manood ng 10 YouTube videos para maintindihan ang isang bagay, kaya nakakatipid ako ng oras. Lubos na inirerekomenda!

Sudenaz Ocak

Android user

Sa paaralan, napakahina ko sa math pero salamat sa app, mas mahusay na ako ngayon. Lubos akong nagpapasalamat na ginawa niyo ang app na ito.

Greenlight Bonnie

Android user

napakareliable na app para tumulong at palawakin ang iyong mga ideya sa Math, English at iba pang mga related na paksa sa iyong mga gawain. gamitin mo ang app na ito kung nahihirapan ka sa mga area, susi ito para diyan. sana nag-review na ako dati. at libre rin ito kaya huwag mag-alala tungkol diyan.

Rohan U

Android user

Alam kong maraming apps gumagamit ng fake accounts para mapataas ang kanilang reviews pero ang app na ito ay deserve lahat ng papuri. Dati nakakakuha ako ng 4 sa aking English exams at ngayon nakakuha ako ng grade 7. Hindi ko pa alam ang app na ito tatlong araw bago ang exam at nakatulong ito ng SOBRA. Pakisuyong maniwala sa akin at gamitin ito dahil sigurado akong makikita mo rin ang mga pagbabago.

Xander S

iOS user

SOBRANG KAPAKI-PAKINABANG NG MGA QUIZZES AT FLASHCARDS AT SOBRANG GUSTO KO ANG SCHOOLGPT. PARANG CHATGPT DIN PERO MAS MATALINO!! TINULUNGAN DIN AKO SA AKING MASCARA PROBLEMS!! PATI NA RIN SA AKING TUNAY NA MGA SUBJECTS! DUHHH ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

Elisha

iOS user

Grabe talaga ang app na to. Sobrang nakakaboring sakin ang pagreview pero ginagawa ng app na to na sobrang dali mag-organize ng lahat at pwede mong tanungin ang libreng ai para subukin ang sarili mo kaya sobrang buti at madali mong ma-upload ang sarili mong mga bagay. highly recommend bilang isang taong nagte-take ng mocks ngayon

Paul T

iOS user

ย 

Business Math

โ€ข

471

โ€ข

Nob 24, 2025

โ€ข

12 mga pahina

Comprehensive Notes for Business Mathematics - ABM 1st Semester

S

sam โ‹†๐™šโ‚ŠหšโŠนโ™ก

@samantha.badiola_

Ever wondered how to deal with parts of a whole, compare different quantities, or calculate your money matters? Business mathematics covers all the essential math skills you'll need in real life โ€“ from understanding fractions and ratios to handling money,... Ipakita pa

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Mag-sign up para makita ang contentLibre ito!

Access sa lahat ng dokumento

Pagbutihin ang iyong mga grado

Sumali sa milyong mga estudyante

Sa pag-sign up, tinatanggap mo ang Terms of Service at Privacy Policy

What Are Fractions?

Think about eating 2 slices from an 8-slice pizza โ€“ you've just experienced a fraction! A fraction represents part of something that's been divided into equal pieces.

Fractions have two main parts: the numerator (top number) shows how many parts you have, while the denominator (bottom number) shows the total number of equal parts. So 2/8 means you have 2 parts out of 8 total parts.

There are three types of fractions you'll encounter. Proper fractions have smaller numerators than denominators like3/5like 3/5. Improper fractions have larger numerators like7/4like 7/4. Mixed numbers combine whole numbers with fractions like21/3like 2 1/3.

Quick Tip: Remember that all parts in a fraction must be equal in size โ€“ you can't have one huge pizza slice and seven tiny ones!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Mag-sign up para makita ang contentLibre ito!

Access sa lahat ng dokumento

Pagbutihin ang iyong mga grado

Sumali sa milyong mga estudyante

Sa pag-sign up, tinatanggap mo ang Terms of Service at Privacy Policy

Mathematical Operations with Fractions

Adding fractions is actually pretty straightforward once you get the hang of it! When fractions have the same denominator, just add the numerators and keep the denominator unchanged. For example: 2/8 + 3/8 = 5/8.

Things get trickier with different denominators. You'll need to find the Least Common Multiple (LCM) of the denominators first. Then convert both fractions to have this common denominator before adding. Like adding 2/5 + 3/4: find LCM of 20, convert to 8/20 + 15/20 = 23/20.

Subtracting fractions follows the exact same rules as addition โ€“ just subtract instead of add! Multiplying is actually easier: multiply numerator ร— numerator and denominator ร— denominator. For division, flip the second fraction upside down and multiply instead.

Remember: Converting fractions to have common denominators is like making sure you're comparing apples to apples!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Mag-sign up para makita ang contentLibre ito!

Access sa lahat ng dokumento

Pagbutihin ang iyong mga grado

Sumali sa milyong mga estudyante

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Ratios and Proportions

A ratio compares two quantities by division and shows their relationship. You can write ratios using colons (3:5), fractions (3/5), or words ("3 to 5"). The first number is the antecedent, and the second is the consequent.

Proportions occur when two ratios are equal, like 3:5 :: 15:25. This creates a powerful tool for solving problems because the product of extremes equals the product of means. In other words, if a:b :: c:d, then a ร— d = b ร— c.

Understanding the difference helps in real situations. Ratios compare quantities (like comparing test scores), while proportions help solve for unknown values (like figuring out ingredient amounts when doubling a recipe).

Pro Tip: Use the cross-multiplication rule to quickly check if two ratios form a proportion!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Mag-sign up para makita ang contentLibre ito!

Access sa lahat ng dokumento

Pagbutihin ang iyong mga grado

Sumali sa milyong mga estudyante

Sa pag-sign up, tinatanggap mo ang Terms of Service at Privacy Policy

Introduction to Commercial Math

Commercial math is all about the math you actually use in everyday life! Whether you're calculating the best deal at a store, figuring out tips, or managing your allowance, these skills are super practical.

Think about real scenarios: your friend needs to find the cost of one notebook when 12 cost โ‚ฑ200, or you want to compare a 25% discount versus a free gift offer. These situations require understanding percentages, unitary method, and profit and loss concepts.

Key topics in commercial math include money management, calculating simple and compound interest, understanding discounts and taxes, and analyzing profit and loss. These aren't just school subjects โ€“ they're life skills that'll help you make smart financial decisions.

Real Talk: Mastering these concepts now means you'll never get ripped off during shopping or confused about loan calculations later!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Mag-sign up para makita ang contentLibre ito!

Access sa lahat ng dokumento

Pagbutihin ang iyong mga grado

Sumali sa milyong mga estudyante

Sa pag-sign up, tinatanggap mo ang Terms of Service at Privacy Policy

Money, Percentages, and Unitary Method

Money is the foundation of commercial math โ€“ understanding denominations and making change are basic but essential skills. Whether dealing with dollars, rupees, or pesos, the principles remain the same.

Percentages represent parts out of 100 and are everywhere in daily life! When you see "30% off" or "scored 85%," you're dealing with percentages. To calculate: 30% of 750 = (30/100) ร— 750 = 225. The symbol % literally means "out of 100."

The unitary method helps find "per unit value" โ€“ super useful for comparing prices or calculating quantities. If 4 lemons cost 20,then1lemoncosts20, then 1 lemon costs 5, so 10 lemons cost $50. First find the unit value, then multiply for your answer.

Money Smart: Always use the unitary method to compare prices โ€“ it reveals the best deals instantly!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

Mag-sign up para makita ang contentLibre ito!

Access sa lahat ng dokumento

Pagbutihin ang iyong mga grado

Sumali sa milyong mga estudyante

Sa pag-sign up, tinatanggap mo ang Terms of Service at Privacy Policy

Profit, Loss, and Interest Calculations

Profit and loss drive business decisions everywhere! Profit happens when selling price > cost price, while loss occurs when cost price > selling price. These simple formulas help determine if a business deal is worth it.

Simple interest is straightforward: SI = (P ร— R ร— T)/100, where P is principal, R is rate, and T is time. If you lend โ‚ฑ1000 at 10% for 2 years, you'll earn โ‚ฑ200 interest. Banks often use this for basic calculations.

Compound interest is more complex but powerful โ€“ you earn interest on your interest! The formula CI = P1+R/1001 + R/100^T - P shows how money grows exponentially over time. This is why starting to save early makes such a huge difference.

Financial Wisdom: Compound interest is your best friend when saving, but your worst enemy when borrowing!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

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Discounts and Taxes

Discounts reduce prices and are calculated as: Discount = Marked Price - Selling Price. The discount percentage = Discount/MarkedPriceDiscount/Marked Price ร— 100. Understanding this helps you evaluate whether "50% off" is really better than "buy one, get one free."

Taxes are fees the government adds to purchases for public welfare. If chocolates cost โ‚ฑ50 with 10% service tax, your total bill becomes โ‚ฑ50 + โ‚ฑ5 = โ‚ฑ55. Always factor taxes into your budget planning.

These calculations help you become a smarter consumer. You'll know the true cost of purchases and can compare deals accurately. Whether it's GST, income tax, or service tax, the mathematical principles stay consistent.

Shopping Hack: Always calculate the final price including taxes before deciding if a deal is worth it!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

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Data Handling and Graphs

Data handling is about collecting, organizing, and presenting information to make smart decisions. Everything around you generates data โ€“ from test scores to weather patterns to social media likes.

Bar graphs use rectangular bars to compare different categories, making it easy to see which values are larger or smaller. Line graphs show changes over time, perfect for tracking trends like your grades throughout the semester.

Pictographs use pictures and symbols to represent data โ€“ they're simple but effective for showing information visually. Think of them as the emoji version of data presentation!

Data Detective: The right graph type makes complex information instantly understandable โ€“ choose wisely!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

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Advanced Data Visualization

Pie charts show how parts make up a whole using circular sectors โ€“ perfect for displaying percentages or proportions. If 360 students were surveyed about favorite fruits, each degree represents one student's preference.

Scatter plots reveal relationships between two variables by plotting points and drawing trend lines. They're great for seeing if there's a connection between things like study time and test scores.

Each graph type serves different purposes. Use bar graphs for comparing categories, line graphs for trends over time, pie charts for showing parts of a whole, and scatter plots for finding relationships between variables.

Visualization Power: The right graph can reveal patterns that aren't obvious in raw numbers โ€“ data becomes your superpower!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

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Gross vs Net Income

Understanding gross vs net income is crucial for financial literacy. Gross income is your total earnings before any deductions โ€“ salary, allowances, bonuses, everything combined.

Net income is what you actually take home after taxes, insurance, and other deductions are removed. If you earn โ‚ฑ6,500 gross but pay โ‚ฑ1,000 in taxes and deductions, your net income is โ‚ฑ5,500.

For companies, gross income = Revenue - Cost of Goods Sold (COGS). This shows profit before operating expenses. Understanding both personal and business income calculations helps you make informed financial decisions.

Reality Check: Always budget based on net income, not gross โ€“ that's the money you actually have to spend!

BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

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BUSINESS MATHEMATICS
1ST TO 2ND QUARTER | 1ST SEMESTER
WHAT ARE FRACTIONS?
โ€ข You have a part of something but
not the complete thing. If I a

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Akala namin hindi mo na itatanong...

Ano ang Knowunity AI companion?

Ang aming AI Companion ay isang AI tool na nakatuon sa mga estudyante na nag-aalok ng higit pa sa mga sagot lang. Binuo mula sa milyong Knowunity resources, nagbibigay ito ng may-kaugnayang impormasyon, personalized na study plans, quizzes, at content direkta sa chat, na umaangkop sa iyong sariling learning journey.

Saan ko mada-download ang Knowunity app?

Maaari mong i-download ang app mula sa Google Play Store at Apple App Store.

Talaga bang libre ang Knowunity?

Tama 'yan! Mag-enjoy sa libreng access sa mga study content, makipag-connect sa kapwa mga estudyante, at kumuha ng instant na tulong โ€“ lahat nasa iyong daliri lang.

13

Smart Tools NEW

I-transform ang note na ito sa: โœ“ 50+ Practice Questions โœ“ Interactive Flashcards โœ“ Full Mock Exam โœ“ Essay Outlines

Praktis Exam
Quiz
Flashcards
Essay

Hindi mo mahanap ang hinahanap mo? Tuklasin ang iba pang mga asignatura.

Gustong-gusto kami ng mga estudyante โ€” at magiging ganoon ka rin.

4.9/5

App Store

4.8/5

Google Play

Napakadaling gamitin at maganda ang disenyo ng app. Nahanap ko lahat ng hinahanap ko hanggang ngayon at natuto ako ng marami mula sa mga presentasyon! Tiyak na gagamitin ko ang app para sa isang takdang-aralin sa klase! At siyempre, nakakatulong din ito bilang inspirasyon.

Stefan S

gumagamit ng iOS

Sobrang ganda talaga ng app na ito. Maraming mga study notes at tulong [...]. Ang problemang subject ko ay Pranses, halimbawa, at ang app ay may maraming options para tumulong. Salamat sa app na ito, bumuti ang Pranses ko. Irerekumenda ko ito sa lahat.

Samantha Klich

Android user

Wow, talagang namangha ako. Sinubukan ko lang ang app dahil nakita ko itong ina-advertise nang maraming beses at sobrang nagulat ako. Ang app na ito ang TULONG na gusto mo para sa paaralan at higit sa lahat, nag-aalok ito ng maraming bagay, tulad ng workouts at fact sheets, na SOBRANG nakatulong sa akin.

Anna

iOS user

Pinakamagandang app sa mundo! walang masabi dahil sobrang ganda nito

Thomas R

iOS user

Napakaganda talaga. Nakakapag-review ako ng 10x mas mabuti, itong app ay mabilis na 10/10. Lubos kong inirerekomenda ito sa lahat. Pwede akong manood at maghanap ng notes. Pwede kong i-save ang mga ito sa subject folder. Pwede kong i-review anumang oras kapag bumalik ako. Kung hindi mo pa nasubukan ang app na ito, marami kang nawawala.

Basil

Android user

Ang app na ito ay nagpapalakas ng loob ko sa paghahanda sa exams, hindi lang dahil sa pagpapataas ng aking kumpiyansa sa sarili sa pamamagitan ng mga feature na nagpapahintulot sa iyo na makipag-connect sa iba at mabawasan ang pakiramdam na nag-iisa, kundi pati na rin sa paraan na nakatuon ang app sa pagpapagaan ng iyong pakiramdam. Madali itong i-navigate, masaya gamitin, at nakakatulong sa sinumang nahihirapan sa kahit anong paraan.

David K

iOS user

Sobrang galing ng app! Ilalagay ko lang ang paksa sa search bar at makakakuha na ako ng sagot kaagad. Hindi ko kailangang manood ng 10 YouTube videos para maintindihan ang isang bagay, kaya nakakatipid ako ng oras. Lubos na inirerekomenda!

Sudenaz Ocak

Android user

Sa paaralan, napakahina ko sa math pero salamat sa app, mas mahusay na ako ngayon. Lubos akong nagpapasalamat na ginawa niyo ang app na ito.

Greenlight Bonnie

Android user

napakareliable na app para tumulong at palawakin ang iyong mga ideya sa Math, English at iba pang mga related na paksa sa iyong mga gawain. gamitin mo ang app na ito kung nahihirapan ka sa mga area, susi ito para diyan. sana nag-review na ako dati. at libre rin ito kaya huwag mag-alala tungkol diyan.

Rohan U

Android user

Alam kong maraming apps gumagamit ng fake accounts para mapataas ang kanilang reviews pero ang app na ito ay deserve lahat ng papuri. Dati nakakakuha ako ng 4 sa aking English exams at ngayon nakakuha ako ng grade 7. Hindi ko pa alam ang app na ito tatlong araw bago ang exam at nakatulong ito ng SOBRA. Pakisuyong maniwala sa akin at gamitin ito dahil sigurado akong makikita mo rin ang mga pagbabago.

Xander S

iOS user

SOBRANG KAPAKI-PAKINABANG NG MGA QUIZZES AT FLASHCARDS AT SOBRANG GUSTO KO ANG SCHOOLGPT. PARANG CHATGPT DIN PERO MAS MATALINO!! TINULUNGAN DIN AKO SA AKING MASCARA PROBLEMS!! PATI NA RIN SA AKING TUNAY NA MGA SUBJECTS! DUHHH ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

Elisha

iOS user

Grabe talaga ang app na to. Sobrang nakakaboring sakin ang pagreview pero ginagawa ng app na to na sobrang dali mag-organize ng lahat at pwede mong tanungin ang libreng ai para subukin ang sarili mo kaya sobrang buti at madali mong ma-upload ang sarili mong mga bagay. highly recommend bilang isang taong nagte-take ng mocks ngayon

Paul T

iOS user

Napakadaling gamitin at maganda ang disenyo ng app. Nahanap ko lahat ng hinahanap ko hanggang ngayon at natuto ako ng marami mula sa mga presentasyon! Tiyak na gagamitin ko ang app para sa isang takdang-aralin sa klase! At siyempre, nakakatulong din ito bilang inspirasyon.

Stefan S

gumagamit ng iOS

Sobrang ganda talaga ng app na ito. Maraming mga study notes at tulong [...]. Ang problemang subject ko ay Pranses, halimbawa, at ang app ay may maraming options para tumulong. Salamat sa app na ito, bumuti ang Pranses ko. Irerekumenda ko ito sa lahat.

Samantha Klich

Android user

Wow, talagang namangha ako. Sinubukan ko lang ang app dahil nakita ko itong ina-advertise nang maraming beses at sobrang nagulat ako. Ang app na ito ang TULONG na gusto mo para sa paaralan at higit sa lahat, nag-aalok ito ng maraming bagay, tulad ng workouts at fact sheets, na SOBRANG nakatulong sa akin.

Anna

iOS user

Pinakamagandang app sa mundo! walang masabi dahil sobrang ganda nito

Thomas R

iOS user

Napakaganda talaga. Nakakapag-review ako ng 10x mas mabuti, itong app ay mabilis na 10/10. Lubos kong inirerekomenda ito sa lahat. Pwede akong manood at maghanap ng notes. Pwede kong i-save ang mga ito sa subject folder. Pwede kong i-review anumang oras kapag bumalik ako. Kung hindi mo pa nasubukan ang app na ito, marami kang nawawala.

Basil

Android user

Ang app na ito ay nagpapalakas ng loob ko sa paghahanda sa exams, hindi lang dahil sa pagpapataas ng aking kumpiyansa sa sarili sa pamamagitan ng mga feature na nagpapahintulot sa iyo na makipag-connect sa iba at mabawasan ang pakiramdam na nag-iisa, kundi pati na rin sa paraan na nakatuon ang app sa pagpapagaan ng iyong pakiramdam. Madali itong i-navigate, masaya gamitin, at nakakatulong sa sinumang nahihirapan sa kahit anong paraan.

David K

iOS user

Sobrang galing ng app! Ilalagay ko lang ang paksa sa search bar at makakakuha na ako ng sagot kaagad. Hindi ko kailangang manood ng 10 YouTube videos para maintindihan ang isang bagay, kaya nakakatipid ako ng oras. Lubos na inirerekomenda!

Sudenaz Ocak

Android user

Sa paaralan, napakahina ko sa math pero salamat sa app, mas mahusay na ako ngayon. Lubos akong nagpapasalamat na ginawa niyo ang app na ito.

Greenlight Bonnie

Android user

napakareliable na app para tumulong at palawakin ang iyong mga ideya sa Math, English at iba pang mga related na paksa sa iyong mga gawain. gamitin mo ang app na ito kung nahihirapan ka sa mga area, susi ito para diyan. sana nag-review na ako dati. at libre rin ito kaya huwag mag-alala tungkol diyan.

Rohan U

Android user

Alam kong maraming apps gumagamit ng fake accounts para mapataas ang kanilang reviews pero ang app na ito ay deserve lahat ng papuri. Dati nakakakuha ako ng 4 sa aking English exams at ngayon nakakuha ako ng grade 7. Hindi ko pa alam ang app na ito tatlong araw bago ang exam at nakatulong ito ng SOBRA. Pakisuyong maniwala sa akin at gamitin ito dahil sigurado akong makikita mo rin ang mga pagbabago.

Xander S

iOS user

SOBRANG KAPAKI-PAKINABANG NG MGA QUIZZES AT FLASHCARDS AT SOBRANG GUSTO KO ANG SCHOOLGPT. PARANG CHATGPT DIN PERO MAS MATALINO!! TINULUNGAN DIN AKO SA AKING MASCARA PROBLEMS!! PATI NA RIN SA AKING TUNAY NA MGA SUBJECTS! DUHHH ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

Elisha

iOS user

Grabe talaga ang app na to. Sobrang nakakaboring sakin ang pagreview pero ginagawa ng app na to na sobrang dali mag-organize ng lahat at pwede mong tanungin ang libreng ai para subukin ang sarili mo kaya sobrang buti at madali mong ma-upload ang sarili mong mga bagay. highly recommend bilang isang taong nagte-take ng mocks ngayon

Paul T

iOS user