Question : Riya could not decide between a discount of 30% or two successive discounts of 25% and 5%, both given on shopping of INR 3,840. What is the difference between both the discounts?
Option 1: INR 44
Option 2: INR 48
Option 3: INR 42
Option 4: INR 46
Correct Answer: INR 48
Solution :
Single discount of 30% on INR 3840 $=\frac{30}{100}\times3840= 1152$
Single discount of 25% and 5% $=(25+5-\frac{25\times 5}{100})=28.75$%
Now, Single discount of 28.75% on INR 3840 $=\frac{28.75}{100}\times3840= 1104$
$\therefore$ The difference in discount = 1152 – 1104 = 48
Hence, the correct answer is INR 48.
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