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1. 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%

Solution:

Let first blend is 2 kg and second blend is 3 kg.

\begin{aligned} Total cost price \\ = (35 \times 2) + (40 \times 3) \\ = 70 + 120 \\ = Rs . 190 \\ Total selling price \\ = (1 \times 46) + (4 \times 55) \\ = 266 [\frac{1}{5} of 5kg  =  1kg] \\ ∴ Profit percent \\ \Rightarrow \frac{Total profit}{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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