Question : The difference between a discount of 30% on Rs. 2,000 and two successive discounts of 25% and 5% on the same amount is:
Option 1: Rs. 30
Option 2: Rs. 35
Option 3: Rs. 25
Option 4: Rs. 40
Correct Answer: Rs. 25
Solution :
Amount = Rs. 2,000
If discount = 30%, final amount = $\frac{70}{100}$ × 2000 = Rs. 1,400
If two successive discounts of 25% and 5%,
final amount = $\frac{75}{100}$ × $\frac{95}{100}$ × 2000 = Rs. 1,425
$\therefore$ Difference = 1425 – 1400 = Rs. 25
Hence, the correct answer is Rs. 25.
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