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:

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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:

A. Rs. 270
B. Rs. 290
C. Rs. 300
D. None of these
Explanation:
Marked price be Rs. X
Discount availed by the retailer = 15% of Rs. X
C.P of the machine by the retailer
= (X – 15% of X) = Rs. 17X/20
15% of 17X/20 = 1955 – 17X/20
51X/400 + 17X/20 = 1955 or
X = 2000 Discount received retailer
= (15% of Rs. 2000) = Rs. 300