Question : The difference between a discount of 30% on INR 5,000 and two successive discounts of 15% and 25% on the same amount is:
Option 1: INR 315.50
Option 2: INR 350.50
Option 3: INR 312.50
Option 4: INR 412.50
Correct Answer: INR 312.50
Solution :
Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a=15\%$ and $b=25\%$ are successive discounts.
$=15+25-\frac{15\times 25}{100}=40-3.75=36.25\%$
The required difference $=\frac{36.25-30}{100}\times 5000=\frac{6.25}{100}\times 5000=$ INR 312.50
Hence, the correct answer is INR 312.50.
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