Question 94

A trader had 22 quintals of wheat. He sold a part of it at 23% profit and the rest at 33% profit, so that he made a total profit of 27%. How much wheat did he sell at 33% profit?

Solution

1 quintal = 100 kg => 22 quintals = 2200 kg

Let the part he sold at 33% profit = $$x$$ kg

=> Part he sold at 23% profit = $$(2200 - x)$$ kg

Total profit made by the trader = 27%

=> $$33x + 23 (2200 - x) = 27 \times 2200$$

=> $$33x + (23 \times 2200) - 23x = 27 \times 2200$$

=> $$10x = 2200 \times (27 - 23)$$

=> $$x = 220 \times 4 = 880$$ kg

=> Ans - (C)

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