A trader had 1200 kgs of rice. He sold a part of it at 5% profit and the rest at 11% profit, so that he made a total profit of 7%. How much (in kg) wheat did he sell at 5% profit? ?->(Show Answer!)

1. A trader had 1200 kgs of rice. He sold a part of it at 5% profit and the rest at 11% profit, so that he made a total profit of 7%. How much (in kg) wheat did he sell at 5% profit?

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By: anil on 05 May 2019 01.44 am

Let X be the weight of wheat sold at 5% profit, then $$Rightarrow frac{105}{100} imes X + frac{111}{100} imes (1200-x) = frac{107}{100} imes 1200$$ $$Rightarrow 1.05 imes X + 1.11 imes (1200-X) = 1.07 imes 1200$$ $$Rightarrow 1.05 imes X - 1.11 imes X = 1.07 imes 1200 - 1.11 imes 1200$$
$$Rightarrow -0.6 imes X = -480$$ $$Rightarrow X = 800$$ so the answer is option D.

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