Question : What is the difference between a single discount of 35% on INR 700 and two successive discounts of 18% and 12% on the same amount (correct to two places of decimals)?
Option 1: INR 51.20
Option 2: INR 50.12
Option 3: INR 52.10
Option 4: INR 49.80
Correct Answer: INR 50.12
Solution :
First discount = 35% of 700
Successive discounts = 18% and 12%
Effective discount = $18+12-\frac{18×12}{100}= 30-2.16 = 27.84$%
Second discount = 27.84% of 700
Required difference = (35 – 27.84)% of 700
= 7.16% of 700
= 0.0716 × 700
= 50.12
Hence, the correct answer is INR 50.12.
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