Q2 still going easy

Algebra Level 2

A merchant has 100kg sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10% on the whole. The amount of sugar (in kg) he sold at 7% profit is -

This question is a part of my set NMTC 2015

90 80 75 55 60 50 70 65

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1 solution

John Taylor
Aug 24, 2015

Let x kg of sugar be sold at profit of 7%. Then (100-x kg) of sugar is sold at profit of 17%

Then according to the given condition,

=>7% profit on x + 17% profit on 100-x = 10% profit 100 kg sugar

=> 1.07x + 1.17(100-x)= 1.1*100

=> 1.07x + 117 - 1.17x = 110

=> 0.1 x = 7

=> x=70

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