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Question

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

A

99%

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B

85%

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C

75.5%

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D

65%

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Solution

The correct option is D (74.5)%

Let the marked price of an article be Rs. 100 and
Given two given successive discounts d1=50% and d2=49%

Then, S.P = M.P×100d1100 × 100d2100

=100×10050100 × 10049100

=100×50100 × 51100

=25510

=Rs. 25.5
Single equivalent discount =10025.5=74.5%
Hence, a single discount of 74.5% is equivalent to two given successive discounts.


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