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
Solution(By Examveda Team)
Let first blend is 2 kg and second blend is 3 kg.$$\eqalign{ & {\text{Total cost price }}{\text{ }} \cr & = \left( {35 \times 2} \right) + \left( {40 \times 3} \right) \cr & = 70 + 120 \cr & = {\text{Rs}}{\text{. 190}} \cr & {\text{Total selling price }} \cr & {\text{ = }}\left( {{\text{ }}1 \times 46} \right) + \left( {4 \times 55} \right) \cr & = 266\left[ {\frac{1}{5}{\text{ of 5kg = 1kg}}} \right] \cr & \therefore {\text{Profit percent }} \cr & \Rightarrow \frac{{{\text{Total profit}}}}{{{\text{Total cost price}}}} \times 100 \cr & \Rightarrow \frac{{\left( {266 - 190} \right)}}{{190}} \times 100 \cr & \Rightarrow \frac{{76}}{{190}} \times 100 \cr & \Rightarrow 40\% \cr} $$
Related Questions on Alligation
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
D. $$\frac{{7}}{{9}}$$ kg
A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres
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