Question 87

A grocer had 1600 kgs of wheat. He sold a part of it at 20% profit and the rest at 12% profit, so that he made a total profit of 17%. How much wheat (in kg) did he sell at 20% profit?

Solution

Let the cost price of per kg wheat is x Rs. and he sells y kg at 20% profit.

So, $$y\times x\times0.20+\left(1600-y\right)\times x\times0.12=0.17\times1600\times x$$

or, $$0.20y+\left(192-0.12y\right)=272\ .$$

or, $$y=\frac{272-192}{0.08}=1000\ .$$

B is correct choice.

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