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A merchant has two types of tea: one costing ₹70/kg and the other costing ₹100/kg. He mixes them and sells the mixture at ₹91/kg, earning a 25% profit. In what ratio did he mix the two types of tea?
- 1: 2
- 68: 7
- 23: 21
- 1: 3
Correct answer: 68: 7
Solution
Since the selling price is ₹91 with 25% profit, the cost price of the mixture is 91/1.25 = ₹72.8 per kg. Using alligation between ₹70 and ₹100 for mean price ₹72.8 gives ratio (100 - 72.8):(72.8 - 70) = 27.2:2.8 = 68:7.
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