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A shopkeeper purchased two types of wheat costing ₹220 per kg and ₹300 per kg. In what ratio should he mix the wheat so that he can sell the mixture at the rate of ₹360 per kg in order to earn a profit of 25%?
- 4:15
- 3:17
- 4:17
- 3:16
Correct answer: 3:17
Solution
If the selling price is ₹360 with 25% profit, then the cost price of the mixture is ₹360/1.25 = ₹288 per kg. Using alligation with prices ₹220 and ₹300 around mean ₹288 gives the ratio 12:68 = 3:17.
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