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

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