Discount
Sale Price
Rate of Discount
1)
20%
Selling Price
Php 950.00
Php 550.00
Php 1,550.00
2)
35%
3)
P697.50
Original Price
Selling Price
Mark-up Rate
Mark-up Price
4)
20%
5)
Php 950.00
Php 550.00
Php 1,550.00
35%
6)
Php 697.50
Rate of Commission
Commission
Total Sales
Php 15,000.00
5%
17)
8)
14%
P20,458.00
Rate
Time
Simple Interest
9)
10)
Principal Amount
Php 25,000.00
Php 4,200.00
5.5 %
3 1/2 years
4 years
Php 252.00
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Answers & Comments
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%
What is discount: brainly.ph/question/7700836