Question
The cost price of item X is 20% more than that of item
Y. If the cost price of item X is increased by 10% and it is sold for Rs. 220, earning a profit of 25%, find the cost price of item Y.Solution
Let the cost price of item Y be Rs. x. Then the cost price of item X = 1.20x. The cost price of item X is increased by 10%, so the new cost price of item X = 1.10 × 1.20x = 1.32x. The selling price of item X is Rs. 220, and the profit is 25%. Therefore, the selling price = Cost price + Profit = 1.32x + 0.25 × 1.32x = 1.32x + 0.33x = 1.65x. Given, 1.65x = 220. Solving for x: x = 220 / 1.65 x = 133.33. Thus, the cost price of item Y is Rs. 133.33. Correct option: a
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