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Question

Find the single discount equivalent to two successive discounts 50% and 49%.



Your Answer
A

99%

Your Answer
B

85%

Correct Answer
C

 75.5%

Your Answer
D

 65%


Solution

The correct option is C

 75.5%


Let the marked price of an article be ₹ X and a single discount of d% be equivalent to two given successive discounts of 50% and 49%

Then, 

(1d100) of  x=(150100)(149100) of  x  [Both S.P must be equal]

2002d=51

2d=149

d=74.5%

Hence, a single discount of 74.5% is equivalent to two given successive discounts.

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