The marked price of a T.V. is Rs. 16000. After two successive discounts it is sold for Rs. 11400. If the first discount is 5%, then the rate of second discount is = ?

A. 15%

B. 20%

C. 30%

D. 25%

Answer: Option D

Solution(By Examveda Team)

Marked price of T.V. = Rs. 16000
$$\eqalign{ & {\text{After 1st discount}} \cr & {\text{ = 95}}\% {\text{ of 16000}} \cr & {\text{ = }}\frac{{95}}{{100}} \times 16000 \cr & {\text{ = Rs}}{\text{. 15200}} \cr} $$
Selling price of T.V. = Rs. 11400
$$\eqalign{ & {\text{ So, the 2nd discount be}}\% \cr & = \frac{{15200 - 11400}}{{15200}} \times 100 \cr & = \frac{{3800}}{{15200}} \times 100 \cr & = 25\% \cr} $$