Question

Find the single discount equivalent to two successive discounts 25% and 8%.

• A. 33%
• B. 30%
• C. 31%
• D. 27%

Answer 1

The correct option is C

31%

Let the marked price of an article be Rs. X and a single discount of d% be equivalent to two given successive discounts of 25% and 8 %

Then, (1 – (d/100)) of Rs. x = (1- (25/100)(1- (8/100)) of Rs. x [Both S.P must be equal]

$\Rightarrow$1 – (d/100) = (75/100) (92/100)

$\Rightarrow$ 100 – d = 69

$\Rightarrow$ d = 31

Hence, a single discount of 31% is equivalent to two given successive discounts.