Question
'P' sold an item to 'Q' at 12.5% profit, 'Q' sold it to
'R' at 33(1/3)% loss. If 'R' paid Rs. 1,800, then find the price at which 'P' bought the item.Solution
Let, 'P' bought the item for Rs. '8x'. So, the selling price for 'P' = Cost price for 'Q' = 1.125 X 8x = Rs. '9x' Selling price for 'Q' = Cost price for 'R' = (2/3) X 9x = Rs. '6x' ATQ, 6x = 1800 Or, x = 300 So, the cost price of the item for 'P' = 8x = 8 X 300 = Rs. 2,400
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