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Question

What is the total selling price of two clothes 'shirts' and 'Pants,' when a shopkeeper has made a profit of (13/37) times the cost price of 'Shirt'and incurred a loss of (6/31) times the cost price of' 'Pants'? Both items are sold at the same price, and the difference between the profit from 'Shirt' and the loss from 'Pants' is Rs.15.

A Rs.1500 Correct Answer Incorrect Answer
B Rs.1550 Correct Answer Incorrect Answer
C Rs.1050 Correct Answer Incorrect Answer
D Rs.1000 Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

ATQ, Let, the cost price of 'Shirt' be Rs. '37a'. So, the profit on 'Shirt'= [(13/37) × 37a] = Rs. '13a' Therefore, selling price of 'Shirt' = 37a + 13a = Rs.'50a' Let, cost price of 'Pants' be Rs.'31p'. So, the loss incurred on 'Pants' = [(6/31) × 31p] = '6p' Therefore, selling price of 'pants' = 31 p 50a = 25p So, p = 2a So, loss incurred on 'Pants' = 6p = 6 × 2a = '12a' Therefore, 13a - 12a = 15   a = 15 So, selling price of 'Shirts' = Selling price of item 'Pants' = 50a = 50 × 15 = Rs. 750 So, sum of selling price of 'shirts' and item 'Pants' = 750 + 750 = Rs. 1,500

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