The difference between a discount of 30% on Rs.2000 and two successive discounts of 25% and 5% on the same amount is


A) Rs.30

B) Rs.35

C) Rs.25

D) Rs.40

Correct Answer:
C) Rs.25

Description for Correct answer:
Because, Single equivalent discount per cent to 25% and 5%

= \( \Large \left(r_{1}+r_{2}-\frac{r_{1}r_{2}}{100}\right) = 25+5-\frac{25 \times 5}{100} \)

= 30 - 1.25 = 28.75%

Therefore, Required difference

= \( \Large \frac{30-28.75 \times 2000}{100} \)

= \( \Large \frac{1.25 \times 2000}{100} \) = Rs.25

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