If the price of Sugar is increased by 50% by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?

Question: If the price of Sugar is increased by 50% by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?

Solution:
Let, x kg sugar costs 100 taka

Increased by 50%, x kg costs = 100 + 100 × .5 = 150 taka

In 100 taka, new amount = 100x/150 = 2x/3 kg

Fraction must its consumption be reduced = {x - (2x/3)}/x
= 1/3