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How many kilograms of wheat costing 52 per kg must be mixed with 30 kg of wheat costing 40 per kg so that a 20% gain may be obtained by selling the mixture at 54 per kg?
- 18.2 kg
- 21.4 kg
- 24 kg
- 28.5 kg
Correct answer: 21.4 kg
Solution
A 20% gain at a selling price of 54 means the cost price of the mixture must be 45 per kg. Now mix wheat at 52 and 40 so that the average becomes 45. By alligation, the ratio of quantities is 5:7, giving the required quantity of 52 wheat as 21.4 kg for 30 kg of 40 wheat.
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