The difference between a discount of 40% on Rs.500 and two successive discounts of 36% and 4% on the same amount is


A) Rs.0

B) Rs.2

C) Rs.1.93

D) Rs.7.20

Correct Answer:
D) Rs.7.20

Description for Correct answer:

Discount of 40% on Rs.500

= \( \Large \frac{500 \times 40}{100} \) = Rs.200

and single discount per cent equivalent to 36% and 4%

= \( \Large \left(r_{1}+r_{2}-\frac{r_{1}r_{2}}{100}\right)\% \)

= \( \Large 36+4-\frac{36 \times 4}{100}=40-1.44 \) = 38.56%

Therefore, Discount by 38.56% on 500

= \( \Large \frac{38.56 \times 500}{100} \) = Rs.192.80

Hence, required difference = (200 - 192.80} = Rs.7. 20


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