A merchant has 175 kg of sugar, part of which he sells at 5% profit and rest at 15% profit. He gains 108% on whole...

Question

A merchant has 175 kg of sugar, part of which he sells at 5% profit and the rest at 15% profit. He gains 108% on the whole.
What is the quantity sold for 5% profit?

Answer 1

122.5 kg
.
His total revenue is 108%, thus 175 * 1.08 = 175 * x * 1.05 + 175 * (1-x) * 1.15, with x being the fraction sold with 5% profit
1.08 - 1*1.15 = (1.05-1.15) * x => 0.07 = 0.1 * x
x = 0.7, thus the quantity sold with 5% profit is 0.7 * 175 = 122.5 kg