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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