Three successive discounts of 30% on the marked price of an article are in total equal to a single discount of which of the following?

A90%

B27%

C65.7% ✓ Correct

D78.2%

Correct answer: (C) 65.7%

Explanation

The single equivalent discount is 65.7%.

Each 30% discount leaves a factor of 0.7.

Three together give 0.7 x 0.7 x 0.7 = 0.343.

Price retained = 34.3% of marked price.

Single discount = 100% - 34.3% = 65.7%.

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