Question : Three successive discounts 22%, 17% and 11% are equivalent to a single discount of:
Option 1: approximately 42%
Option 2: approximately 25%
Option 3: approximately 50%
Option 4: approximately 45%
Correct Answer: approximately 42%
Solution :
Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
So, a single equivalent discount of 17% and 22%
$=17+22-\frac{17×22}{100}=39-3.74=35.26\%$
Now, a single equivalent discount of 35.26% and 11% $=35.26+11-\frac{35.26×11}{100}=46.16-3.88=42.28\% \approx42\%$
Hence, the correct answer is approximately 42%.
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