Question 130

A merchant has 1000 kg sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold 8% profit is:

Solution

Let quantity sold at 8% profit = $$x$$ kg

=> Quantity sold at 18% profit = $$(1000-x)$$ kg

According to ques,

=> $$8(x)+18(1000-x)=14(1000)$$

=> $$8x+18000-18x=14000$$

=> $$10x=18000-14000=4000$$

=> $$x=\frac{4000}{10}=400$$

$$\therefore$$ The quantity sold 8% profit = $$400$$ kg

=> Ans - (C)

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