Question : A dealer gives 10%, 20%, and 30% successive discounts on an item. What is the single equivalent discount on the item?
Option 1: 54.8%
Option 2: 52.8%
Option 3: 47.6%
Option 4: 49.6%
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Correct Answer: 49.6%
Solution :
We know:
Equivalent single discount = $(a+b-\frac{a×b}{100}$)%,
Where $a,b$ are successive discounts.
So, $20+10-\frac{20\times 10}{100}=28$%
Now again $a = 28$% and $b = 30$%
So, $28+30-\frac{28\times 30}{100}=49.6$%
Hence, the correct answer is 49.6%.
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