Three successive discounts 22%, 17%, and 11% are equivalent to a single discount of :
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. approximately 42%
Let the initial price be 100.
Discount 1 = 22% of 100 = 22
Price after discount 1 = 100 - 22 = 78
Discount 2 = 17% of 78 = 13.26
Price after discount 2 = 78 - 13.26 = 64.74
Discount 3 = 11% of 64.74 = 7.1214
Price after discount 3 = 64.74 - 7.1214
Final price after third discount = 57.6186
Total discount = Initial price - Final price = 100 - 57.6186 = 42.3814
Total discount = 42
Discount% = (Total discount/Initial price) × 100
Discount% = (42/100) × 100 = 42%