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Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate Rs. 55 per kg, the profit percent is –

A. 50% B. 20% C. 40% D. 30% Answer: Option C
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Solution(By Apex Team)

Let first blend is 2 kg and second blend is 3 kg. $\begin{array}{l}\text{Total cost price }\\ =(35\times2)+(40\times3)\\ =70+120\\ =\text{ Rs. }190\\ \text{Total selling price}\\ =(1 \times 46)+(4 \times 55) \\ =266\left[\frac{1}{5} \text { of } 5 \mathrm{~kg}=1 \mathrm{~kg}\right] \end{array}$ $\begin{aligned}&\text{∴ Profit percent}\\ &\Rightarrow \frac{\text { Total profit }}{\text { Total cost price }} \times 100 \\ &\Rightarrow \frac{(266-190)}{190} \times 100 \\ &\Rightarrow \frac{76}{190} \times 100 \\ &\Rightarrow 40 \%\end{aligned}$

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