Question : Three successive discounts of 12%, 13% and 11% are equivalent to an approximate single discount of:
Option 1: 40%
Option 2: 32%
Option 3: 35%
Option 4: 42%
Correct Answer: 32%
Solution : Successive discount = $x + y -\frac{ (x × y)}{100}$ For 12% and 13%, equivalent discount % = $12 + 13 - \frac{(12 × 13)}{100}$ = 25 – 1.56 = 23.44% Again, for 23.44% and 11%, equivalent discount % = $23.44 + 11 - \frac{(23.44 × 11)}{100}$ = 34.44 – 2.5784 = 31.86% = 32% (approximate) Hence, the correct answer is 32%.
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