Question
'P' bought an item and marked it
60% higher than its cost price. He sold it to 'Q' after offering a discount of Rs. 120. 'Q' then increased the price by 25% and sold it to 'R' after giving a 10% discount. If 'Q' made a profit of Rs. 135, what was the profit made by 'P'?Solution
ATQ, For P: Cost price of item = Rs. x Marked price = 1.60 × x = Rs. 1.6x Selling price of item = Rs. (1.6x – 120) For Q; Cost price of item = Rs. (1.6x – 120) Marked price = 1.25 × (1.6x – 120) = Rs. (2x – 150) Selling price of item = 0.90 × (2x – 150) = Rs. (1.8x – 135) According to question: 1.8x – 135 – 1.6x + 120 = 135 Or, 0.2x = 150 Or, x = 750 Profit earned by 'P' = 1.6x – 120 – x = Rs. (0.6x – 120) = 0.6 × 750 – 120 = Rs.330
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