Question
The cost prices of a bookshelf and a wardrobe are in the
ratio 2:5 respectively. If the seller earned a profit of 10% on the bookshelf and an overall profit of 18%, find his profit percentage on the wardrobe.Solution
Let the cost price of the bookshelf be Rs. 200x and the wardrobe be Rs. 500x. Profit on the bookshelf = 200x × 0.1 = Rs. 20x. Overall profit = (700x) × 0.18 = Rs. 126x. So, profit on the wardrobe = 126x – 20x = Rs. 106x. Percentage profit on the wardrobe = (106x/500x) × 100 = 21.2%.
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