Question 64

A merchant has 500 kg of sugar, some part of which he sells at 8% profit and rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

Solution

He sold X quantity at 8% profit and (500-X) at 18% profit.

Total money received after sale will be,
(1.08)(X)+1.18(500-X)=1.14(500)

1.08X+590-1.18X=570
20=0.1X

X will be 200kg.

Hence, the quantity sold at 18% profit will be 300kg.

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