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?
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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