Question : A single discount equivalent to the series of discounts 15%, 10%, and 5% is equal to:
Option 1: 26.5%
Option 2: 31.5%
Option 3: 32%
Option 4: 27.325%
Correct Answer: 27.325%
Solution :
Series of discounts = 15%, 10%, and 5%
Let the marked price = INR 100
Selling price = (100 – 15)% of (100 – 10)% of (100 – 5)% of 100
= 85% of 90% of 95% of 100
= 0.85 × 0.9 × 0.95 × 100
= 72.675
Discount = $\frac{\text{marked price – selling price}}{\text{marked price}}×100$
= $\frac{100-72.675}{100}×100$
= 27.325%
Hence, the correct answer is 27.325%.
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