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One grain is sold for ₹84/kg at 20% profit. Another is sold for ₹72/kg at 20% profit. They are mixed in the ratio 3:2 and sold at ₹78/kg. What is the profit or loss percentage?
- 10% profit
- 15.15% loss
- 18.18% profit
- 20% profit
Correct answer: 18.18% profit
Solution
The cost prices are ₹70/kg and ₹60/kg respectively, because each selling price is 20% above cost. In the ratio 3:2, the mixture cost price is $(3\times70 + 2\times60)/5 = 66$ per kg. Selling at ₹78 gives a profit of ₹12 on ₹66, i.e. $12/66 = 18.18\%$ profit.
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