SSC Sample Paper Mock Test-11 SSC CGL Tear-II Paper-1

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 loss, if he gives a single discount of 16%, instead of two discounts?

A) Gain of Rs. 4.76

B) Loss of Rs. 5.76

C) Gain of Rs. 5.76

D) Loss of Rs. 4.76

Correct Answer: B

Solution :

Equivalent discount for two successive discounts of 8% and 8%

\[=\left( 8+8-\frac{8\times 8}{100} \right)%\]

\[=(16-0\cdot 64)%=15.36%\]

\[\therefore \] SP \[=(100-15\cdot 36)%\]of Rs. 900

= Rs. \[\left( \frac{84.64\times 900}{100} \right)\]= Rs. 761.76

For a single discount of 16%,

SP = 84% of 900 = Rs. \[\left( \frac{84\times 900}{100} \right)\] = Rs. 756

Certainly seller will lose in this case

\[\therefore \] Loss = Rs. \[(761.76-756)\] = Rs. 5.76