Question : A dinner set is quoted for Rs. 1500. A customer pays Rs. 1173 for it. If the customer got a series of two discounts and the rate of the first discount was 15%, then the rate of the second discount was:
Option 1: 15%
Option 2: 7%
Option 3: 9%
Option 4: 8%
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Correct Answer: 8%
Solution :
Marked price = Rs. 1500
Selling price = Rs. 1173
First discount = 15%
Let $x$ be the second discount.
$1173 = 1500×\frac{85}{100}×\frac{100–x}{100}$
$\frac{1173×100}{15×85}$ = $100-x$
⇒ $92 = 100 -x$
⇒ $x = 8$
The second discount is 8%.
Hence, the correct answer is 8%.
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