Question : The difference between a discount of 35% on INR 3,600 and two successive discounts of 30% and 5% on the same amount is:
Option 1: 54
Option 2: 78
Option 3: 82
Option 4: 52
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Correct Answer: 54
Solution :
We know that Selling price = $\frac{100- \text{Discount}\%}{100}×$ cost price
So, the amount after a discount of 35% on INR 3,600
= $\frac{(100-35)}{100}×3,600$
= 2340
Amount after two successive discounts of 30% and 5% on INR 3,600
= $\frac{(100-30)}{100}$×$\frac{(100-5)}{100}$×3600
= 2394
$\therefore$ Difference = 2394 – 2340 = 54
Hence, the correct answer is 54.
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