Question : A retailer buys a sewing machine at a discount of 15% and sells it for Rs. 1955. Thus, he makes a profit of 15%. The discount is:
Option 1: Rs. 270
Option 2: Rs. 290
Option 3: Rs. 300
Option 4: Rs. 310
Correct Answer: Rs. 300
Solution :
Given:
A retailer buys a sewing machine at a discount of 15% and sells it for Rs. 1955.
Let the marked price be $100x$.
At a 15% discount, the cost price for him = $85x$
He gained 15% by selling it in 1955.
So, the cost price = $\frac{100}{115}×1955=1700$
So, $85x = 1700$
$\therefore 100x = \frac{100}{85}×1700=$ Rs. 2000
So, the discount is (2000 – 1700) = Rs. 300
Hence, the correct answer is Rs. 300.
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