BUSINESS MATHActivity SheetCategoryFormula to useMark onMark-upDEPARTMENT OLDUSANDepEDMarginConverting Margin to Mark-upConverting Mark-up to Margin
1. BUSINESS MATHActivity SheetCategoryFormula to useMark onMark-upDEPARTMENT OLDUSANDepEDMarginConverting Margin to Mark-upConverting Mark-up to Margin
Answer:
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2. D Learning Task 1: Complete the following table. Write your answer in your notebook, Selling Price Rate of Discount Discount Sale Price 1) P950.00 20% 2) P550.00 35% 3) P1,550.00 P697.50 Original Price Mark-up Rate Mark-up Price Selling Price 4) P950.00 20% 5) P550.00 35% 6) P1,550.00 P697.50 Total Sales Rate of Commission Commission 7) P 15,000.00 5% 8) 14% P20,458.00 Rate Time Simple Interest Principal Amount P25,000.00 5.5 % 3 1/2 years 9) 10) 24,200.00 4 years 9252.00Answer:Learning Task 1: Complete the following table. Below is the answer to each box.1. Discount: Php 190.00; Sale Price: Php 760.002. Discount: Php 192.50; Sale Price: Php 357.503. Rate of Discount: 45% Sale Price: Php 852.504. Mark-up Price: Php 190.00 Selling Price: Php 1140.005. Mark-up Price: Php 192.50 Selling Price: Php 742.506. Mark-up Rate: 45% Selling Price: Php 2247.507. Commission: Php 7508. Total Sale: Php 146, 128.579. Simple Interest: Php 4812.5010. Rate: 1.5%Step-by-step explanation:In Business Math, it is important that you have common knowledge about discounts, rate discounts, sale prices, mark-up prices, selling prices, commissions, and simple interests. These terms will help you understand the basics of business.Discount is the amount to be deducted from the original price due to a discount percentage.Different Type of SalesDiscountMark upSome Types of InterestsSimple InterestCompound InterestCompound Continuous InterestSolutions1. Solve for the discount amount. Multiply Php 950.00 by 20%. Discount amount: 950 \times 0.20 = \boxed{190}950×0.20= 190 Sale Price: 950 - 190 = \boxed{760}950−190= 760 2. Solve for the discount amount. Multiply Php 550.00 by 35%. Discount amount: 550 \times 0.35 = \boxed{192.50}550×0.35= 192.50 Sale Price: 550-192.50=\boxed{357.50}550−192.50= 357.50 3. Solve for the rate of discount. Divide Php 1, 550.00 by Php 697.50. rate of discount: Let rr be the discount rate. Then, \begin{gathered}1550.00 \times r = 697.50 \longrightarrow r=\frac{697.50}{1550.00}=0.45 \text{\:or\:} \boxed{45\%}\\\\\end{gathered} 1550.00×r=697.50⟶r= 1550.00697.50 =0.45or 45% Sale Price: \begin{gathered}1550 - 697.50 = \boxed{852.50}\\\\\end{gathered} 1550−697.50= 852.50 Solutions4. Solve for the mark-up price amount. Multiply Php 950.00 by 20%. Mark-up price amount: 950 \times 0.20 = \boxed{190}950×0.20= 190 Selling Price: \begin{gathered}950 + 190 = \boxed{1140}\\\end{gathered} 950+190= 1140 5. Solve for the mark-up price amount. Multiply Php 550.00 by 35%. Mark-up price amount: 550 \times 0.35 = \boxed{192.50}550×0.35= 192.50 Selling Price: \begin{gathered}550+192.50 = \boxed{742.50}\\\end{gathered} 550+192.50= 742.50 6. Solve for the mark-up rate. Divide Php 1, 550.00 by Php 697.50. Mark-up rate: Let rr be the discount rate. Then, \begin{gathered}1550.00 \times r = 697.50 \longrightarrow r=\frac{697.50}{1550.00}=0.45 \text{\:or\:} \boxed{45\%}\\\\\end{gathered} 1550.00×r=697.50⟶r= 1550.00697.50 =0.45or 45% Selling Price: \begin{gathered}1550 + 697.50 = \boxed{2247.50}\\\\\end{gathered} 1550+697.50= 2247.50 Solutions7. Solve for the commission amount. Multiply Php 15, 000 by 5%. Commission amount: 15000 \times 0.05 = \boxed{750}15000×0.05= 750 8. Solve for the total sales. Divide Php 20, 458.00 by 14% Total Sales: Let TT be the total sales. Then, T(14\%)=20458 \longrightarrow T=\frac{20458}{0.14}=\boxed{146, 128.57}T(14%)=20458⟶T= 0.1420458 = 146,128.57 Solutions9. Solve for the Simple Interest amount. Multiply Php 25,000 by 5.5% by 3.5. Simple Interest Amount: \begin{gathered}25000 \times 0.055 \times 3.5 =\boxed{4812.50}\\\end{gathered} 25000×0.055×3.5= 4812.50 10. Solve for the rate of interest. Use the formula I=PrtI=Prt . Rate of Interest: \begin{gathered}\begin{aligned}I&=Prt\\252&=4,200r(4)\\252&=16800r\\\frac{252}{16800}&=\frac{16800}{16800}\\0.015&=r\\&\text{or}\\\boxed{1.5\%}&=r\end{aligned}\end{gathered} I25225216800252 0.0151.5% =Prt=4,200r(4)=16800r= 1680016800 =ror=r To learn more about Business Mathematics, go to,Percentage: https://brainly.ph/question/5886532Assessment: https://brainly.ph/question/616255Discounts: https://brainly.ph/question/997730#LetsStudy
Discount, Mark - up Price, Selling Price, and Sale Price
To solve word problems involving discount, mark - up price, selling price, and sale price, identify the given facts. Analyze the given facts if it is the original price or the selling price. Remember that it is the rate that contains the "%" sign.Remember to subtract when discounts are given and to add when marks up are made. Study carefully the exercises below in order not to be confused with discounts and mark ups.
Learning Task 1:Answers:Selling Price Rate of Discount Discount Sale Price
1. ₱950 20% ₱190 ₱760
2. ₱550 35% ₱192.50 ₱357.50
3. ₱1,550 45% ₱697.50 ₱852.50
Original Price Mark-up Rate Mark-up Price Selling Price
4. ₱950 20% ₱190 ₱1140
5. ₱550 35% ₱192.50 ₱742.50
6. ₱1,550 45% ₱697.50 ₱2247.50
Total Sales Rate of Commission Commission
7. ₱15,000 5% ₱750
8. ₱146128.57 14% ₱20,458
Rate Time Simple Interest Principal Amount
9. 5.5 % 3 1/2 years ₱4812.50 ₱25,000
10. 9.6% 4 years ₱9252 ₱24,200
Solutions:1. Asked: The discount and sale price.
Given: ₱950 - selling price
20% - rate of discount
Operation: multiplication, subtraction
Number Sentence: Discount = 20%(₱950)
Sale Price = ₱950 - 20%(₱950)
Solution: Discount = 20%(₱950)
Discount = ₱190
Sale Price = ₱950 - 20%(₱950)
Sale Price = ₱950 - ₱190
Sale Price = ₱760
Answer: Discount = ₱190, Sale Price = ₱760
2. Asked: The discount and sale price.
Given: ₱550 - selling price
35% - rate of discount
Operation: multiplication, subtraction
Number Sentence: Discount = 35%(₱550)
Sale Price = ₱550 - 35%(₱550)
Solution: Discount = 35%(₱550)
Discount = ₱192.50
Sale Price = ₱550 - 35%(₱550)
Sale Price = ₱550 - ₱192.50
Sale Price = ₱ 357.50
Answer: Discount = ₱192.50, Sale Price = ₱357.50
3. Asked: The rate of discount and sale price.
Given: ₱1550 - selling price
₱697.50 - discount
Operation: division, subtraction
Number Sentence: Rate of Discount = discount ÷ selling price
Sale Price = selling price - discount
Solution: Rate of Discount = discount ÷ selling price
Rate of Discount = ₱697.50 ÷ ₱1550
Rate of Discount = .45 x 100%
Rate of Discount = 45%
Sale Price = ₱1550 - ₱697.50
Sale Price = ₱852.50
Answer: Rate of Discount = 45%, Sale Price = ₱852.50
4. Asked: The mark - up price and sale price.
Given: ₱950 - original price
20% - mark - up rate
Operation: multiplication, addition
Number Sentence: Mark - up Price = Original Price x Mark - up Rate
Sale Price = Original Price + Mark - up Price
Solution: Mark - up Price = Original Price x Mark - up Rate
Mark - up Price = ₱950 x 20%
Mark - up Price = ₱950 x .20
Mark - up Price = ₱190
Sale Price = Original Price + Mark - up Price
Sale Price = ₱950 + ₱190
Sale Price = ₱1140
Answer: Mark - up Price = ₱190, Sale Price = ₱1140
5. Asked: The mark - up price and selling price.
Given: ₱550 - original price
35% - mark - up rate
Operation: multiplication, addition
Number Sentence: Mark - up Price = Original Price x Mark - up Rate
Sale Price = Original Price + Mark - up Price
Solution: Mark - up Price = Original Price x Mark - up Rate
Mark - up Price = ₱550 x 35%
Mark - up Price = ₱550 x .35
Mark - up Price = ₱192.50
Sale Price = Original Price + Mark - up Price
Sale Price = ₱550 + ₱192.50
Sale Price = ₱742.50
Answer: Mark - up Price = ₱192.50, Sale Price = ₱742.50
6. Asked: The mark - up rate and selling price.
Given: ₱1550 - original price
₱697.50 - mark - up price
Operation: division, addition
Number Sentence: Mark - up Rate = Mark - up Price ÷ Original Price
Sale Price = Original Price + Mark - up Price
Solution: Mark - up Rate = Mark - up Price ÷ Original Price
Mark - up Rate = ₱697.50 ÷ ₱1550
Mark - up Rate = .45 x 100% = 45%
Sale Price = Original Price + Mark - up Price
Sale Price = ₱1550 + ₱697.50
Sale Price = ₱2247.50
Answer: Mark - up Rate = 45%, Sale Price = ₱2247.50
7. Asked: The commission.
Given: ₱15,000 - total sales
5% - rate of commission
Operation: multiplication
Number Sentence: Commission = Total Sales x Rate of Commission
Solution: Commission = Total Sales x Rate of Commission
Commission = ₱15,000 x 5%
Answer: Commission = ₱750
8. Asked: The total sales.
Given: 14% - rate of commission
₱20,458 - commission
Operation: division
Number Sentence: Total Sales = Commission ÷ Rate of Commission
Solution: Total Sales = Commission ÷ Rate of Commission
Total Sales = ₱20,458 ÷ 14%
Answer: Total Sales = ₱146,128.57
9. Asked: The simple interest
Given: 5.5 % - rate
3 1/2 years - time
₱25,000 - principal amount
Operation: multiplication
Number Sentence: Simple Interest = principal amount x rate x time
Solution: Simple Interest = ₱25,000 x .055 x 3.5
Answer: Simple Interest = ₱4812.50
10. Asked: The rate of interest
Given: 4 years - time
₱24,200 - principal amount
₱9252 - simple interest
Operation: division
Number Sentence: Rate of Interest = principal amount ÷ time ÷ interest
Solution: Rate of Interest = ₱24,200 ÷ 4 ÷ ₱9252
Rate of Interest = 9.6%
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Answer:
Discount: Php 190.00; Sale Price: Php 760.00
2. Discount: Php 192.50; Sale Price: Php 357.50
3. Rate of Discount: 45% Sale Price: Php 852.50
4. Mark-up Price: Php 190.00 Selling Price: Php 1140.00
5. Mark-up Price: Php 192.50 Selling Price: Php 742.50
6. Mark-up Rate: 45% Selling Price: Php 2247.50
7. Commission: Php 750
8. Total Sale: Php 146, 128.57
9. Simple Interest: Php 4812.50
10. Rate: 1.5%
Step-by-step explanation:
In Business Math, it is important that you have common knowledge about discounts, rate discounts, sale prices, mark-up prices, selling prices, commissions, and simple interests. These terms will help you understand the basics of business.
Discount is the amount to be deducted from the original price due to a discount percentage.
Different Type of Sales
Discount
Mark up
Some Types of Interests
Simple Interest
Compound Interest
Compound Continuous Interest
Solutions
1. Solve for the discount amount. Multiply Php 950.00 by 20%.
Discount amount: 950 \times 0.20 = \boxed{190}950×0.20=
190
Sale Price: 950 - 190 = \boxed{760}950−190=
760
2. Solve for the discount amount. Multiply Php 550.00 by 35%.
Discount amount: 550 \times 0.35 = \boxed{192.50}550×0.35=
192.50
Sale Price: 550-192.50=\boxed{357.50}550−192.50=
357.50
3. Solve for the rate of discount. Divide Php 1, 550.00 by Php 697.50.
rate of discount: Let rr be the discount rate.
Then,
\begin{gathered}1550.00 \times r = 697.50 \longrightarrow r=\frac{697.50}{1550.00}=0.45 \text{\:or\:} \boxed{45\%}\\\\\end{gathered}
1550.00×r=697.50⟶r=
1550.00
697.50
=0.45or
45%
Sale Price: \begin{gathered}1550 - 697.50 = \boxed{852.50}\\\\\end{gathered}
1550−697.50=
852.50
Solutions
4. Solve for the mark-up price amount. Multiply Php 950.00 by 20%.
Mark-up price amount: 950 \times 0.20 = \boxed{190}950×0.20=
190
Selling Price: \begin{gathered}950 + 190 = \boxed{1140}\\\end{gathered}
950+190=
1140
5. Solve for the mark-up price amount. Multiply Php 550.00 by 35%.
Mark-up price amount: 550 \times 0.35 = \boxed{192.50}550×0.35=
192.50
Selling Price: \begin{gathered}550+192.50 = \boxed{742.50}\\\end{gathered}
550+192.50=
742.50
6. Solve for the mark-up rate. Divide Php 1, 550.00 by Php 697.50.
Mark-up rate: Let rr be the discount rate.
Then,
\begin{gathered}1550.00 \times r = 697.50 \longrightarrow r=\frac{697.50}{1550.00}=0.45 \text{\:or\:} \boxed{45\%}\\\\\end{gathered}
1550.00×r=697.50⟶r=
1550.00
697.50
=0.45or
45%
Selling Price: \begin{gathered}1550 + 697.50 = \boxed{2247.50}\\\\\end{gathered}
1550+697.50=
2247.50
Solutions
7. Solve for the commission amount. Multiply Php 15, 000 by 5%.
Commission amount: 15000 \times 0.05 = \boxed{750}15000×0.05=
750
8. Solve for the total sales. Divide Php 20, 458.00 by 14%
Total Sales: Let TT be the total sales.
Then,
T(14\%)=20458 \longrightarrow T=\frac{20458}{0.14}=\boxed{146, 128.57}T(14%)=20458⟶T=
0.14
20458
=
146,128.57
Solutions
9. Solve for the Simple Interest amount. Multiply Php 25,000 by 5.5% by 3.5.
Simple Interest Amount: \begin{gathered}25000 \times 0.055 \times 3.5 =\boxed{4812.50}\\\end{gathered}
25000×0.055×3.5=
4812.50
10. Solve for the rate of interest. Use the formula I=PrtI=Prt .
Rate of Interest:
\begin{gathered}\begin{aligned}I&=Prt\\252&=4,200r(4)\\252&=16800r\\\frac{252}{16800}&=\frac{16800}{16800}\\0.015&=r\\&\text{or}\\\boxed{1.5\%}&=r\end{aligned}\end{gathered}
I
252
252
16800
252
0.015
1.5%
=Prt
=4,200r(4)
=16800r
=
16800
16800
=r
or
=r
Explanation:
hope it helps po
