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

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Accepted Answer

1. Find the cost price per kg from selling price and profit. $CP=\dfrac{46}{1.15}=46	imes\dfrac{20}{23}=40$.

2. Write the weighted average cost. $CP=\dfrac{30+2	imes45+3	imes60+4x}{10}=\dfrac{300+4x}{10}$.

3. Set it equal to 40: $\dfrac{300+4x}{10}=40$.

4. Solve: $300+4x=400\Rightarrow4x=100\Rightarrow x=25$.

5. So the fourth variety costs **₹25/kg**.

FINAL_ANSWER: b

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