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A merchant mixes 50 kg of rice costing ₹60/kg with another variety costing ₹90/kg. He sells the mixture at ₹75/kg with 8% profit. Approximately how much of the second variety did he mix?
- 10 kg
- 15 kg
- 23 kg
- 25 kg
Correct answer: 23 kg
Solution
Since the mixture is sold at ₹75/kg with 8% profit, its cost price is $75/1.08 \approx 69.44$ per kg. Using alligation between ₹60 and ₹90, the quantities are in the ratio $(90-69.44):(69.44-60) \approx 20.56:9.44 \approx 2.18:1$. With 50 kg of the cheaper rice, the second variety comes out to about 23 kg.
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