An article is listed at Rs.900 and two successive discounts of 8% and 8% are giv

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An article is listed at Rs.900 and two successive discounts of 8% and 8% are given on it. How much would the seller gain or lose, if he gives a single discount of 16%, instead of two discounts ?

Options:

A . Loss of Rs.4.76

B . Gain of Rs.5.76

C . Gain of Rs.4.76

D . Loss of Rs.5.76

Answer: Option D
Answer: (d)Using Rule 5,Equivalent discount for two successive discounts of 8% and 8%= $(8 + 8 - {8 × 8}/100)$%= (16–0.64) % = 15.36 %SP = (100 –15.36) % of 900= Rs.$({84.64 × 900}/100)$ = Rs.761.76For a single discount of 16%,SP = 84% of 900= Rs.$({84 × 900}/100)$ = Rs.756Certainly seller will lose in this case.Loss = Rs. (761.76 - 756) = Rs.5.76

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