Question : Rohita offers a discount of 20% on the marked price of an object. Due to the recession of the market, she further offers a discount of 30% on its sale. What is the equivalent single discount percentage corresponding to these two successive discount offers?
Option 1: 42%
Option 2: 56%
Option 3: 40%
Option 4: 44%
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Correct Answer: 44%
Solution :
Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
Single Discount of 20% and 30%
$=20 + 30 - \frac{20\times30}{100}$
$= 50 - 6$
$= 44$%
Hence, the correct answer is 44%.
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