Question : The difference between a discount of 25% and two successive discounts of 15% and 10% on a certain bill was 25. Find the amount of the bill.
Option 1: 3,333.33
Option 2: 2,500
Option 3: 833.33
Option 4: 1,666.67
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Correct Answer: 1,666.67
Solution :
Effective discount after two successive discounts of 15% and 10%
= 15 + 10 – ($\frac{15×10}{100}$) = 25 – 1.5 = 23.5%
Difference = (25% – 23.5%) of the bill amount
⇒ 25 = 1.5% of the bill amount
$\therefore$ Bill amount = $\frac{2500}{1.5}$ = 1666.67
Hence, the correct answer is 1666.67.
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