A rice trader sells one type of rice at Rs 2.70 per kg and loses 10%. He sells another type of rice at 4.5/kg and gains $12 \frac{1}{2} %$ . His objective is to mix these two types and sell the mixture at 3.95/kg and get a profit of $25 %$ . What should be the ratio of quantities of rice mixed?

23:6

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84:16

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6:1

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none of these

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Solution

The correct option is B
84:16

This question can be solved using alligation. For alligation; remember to always consider the cost price only.

Selling Price (SP)

Cost Price (CP)

SP of rice 1 = 2.70/kg CP (rice 1) = $\frac{2.7}{0.9}$ = 3/kg

SP of rice 2 = 4.5/kg CP (rice 2) = $\frac{4.5}{1.125}$ = 4/kg

SP of mixture = 3.95/kg CP (mixture) = $\frac{3.95}{1.25}$ = 3.16/kg

Required Ratio = 84:16

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A rice trader sells one type of rice at Rs 2.70 per kg and loses 10%. He sells another type of rice at 4.5/kg and gains 1212%. His objective is to mix these two types and sell the mixture at 3.95/kg and get a profit of 25%. What should be the ratio of quantities of rice mixed?

A rice trader sells one type of rice at Rs 2.70 per kg and loses 10%. He sells another type of rice at 4.5/kg and gains $12 \frac{1}{2} %$ . His objective is to mix these two types and sell the mixture at 3.95/kg and get a profit of $25 %$ . What should be the ratio of quantities of rice mixed?