The marked price of a TV 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%

Correct Answer:
D) 25%

Description for Correct answer:
Let the rate of second discount = r%

Therefore, 11400 = \( \Large 16000\{ 1-\frac{5}{10} \left(1-\frac{r}{100}\right) \} \)

= \( \Large \frac{11400}{16000} \times = \frac{20}{19}=1-\frac{r}{100} \)

Therefore, r = \( \Large 100 \times \left(1-0.75\right) \) = 25%

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