Question : What is a single discount equivalent to the three successive discounts of 20%, 25%, and 20%?
Option 1: 38%
Option 2: 42%
Option 3: 52%
Option 4: 58%
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Correct Answer: 52%
Solution :
Given, Successive discounts = 20%, 25%, and 20%
Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
$=20+25-\frac{20\times 25}{100}$
$=45-5=40$%
Again, for 40% and 20%, we get,
⇒ $40+20-\frac{40\times20}{100}$
$=60-8=52$%
Hence, the correct answer is 52%.
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