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Four varieties of wheat costing ₹30/kg, ₹45/kg, ₹60/kg, and an unknown price are mixed in the ratio 1:2:3:4. The mixture is sold at ₹46/kg with 15% profit. What is the cost of the fourth variety?

1. ₹ 50/kg
2. ₹ 25/kg
3. ₹ 60/kg
4. ₹ 65/kg

Correct answer: ₹ 25/kg

Solution

Since the mixture is sold at ₹46/kg with 15% profit, its cost price is $46/1.15 = ₹40$ per kg. Using the ratio 1:2:3:4, the weighted average cost is $(30+2\cdot45+3\cdot60+4x)/10 = 40$, which gives $x=25$.

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