Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the following statement: A 20% discount on the original price of an item, followed by the use of a 10% off coupon, results in a total discount of 30%.
Answers
Given : Marcia is at a store with a 20% off sale.
She also has a coupon for an additional 10% off the sale price.
To Find : Prove or disprove the following statement:
20% discount on the original price of an item, followed by the use of a 10% off coupon, results in a total discount of 30%.
Solution:
Disapprove
20% discount on the original price of an item, followed by the use of a 10% off coupon, does not results in a total discount of 30%.
Verification :
Let say item Price = 100P
20% off sale. = (20/100)100P = 20P
Sale price = 100P - 20P = 80P
coupon for an additional 10% off the sale price.
= (10/100)80P
= 8P
Final Price = 80P - 8P = 72P
Total Discount = 100P - 72P = 28P
Total Discount = (28P/100P) * 100 = 28 %
28 % ≠ 30 %
Verified
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