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