Question 140
If the price of sugar is raised by 25%, find by how much percent a householder must reduce his consumption of sugar so as not to increase his expenditure?
Solution
let the initial cost sugar be Rs y and initial amount bought be z kg
hence total expenditure = Rs yz
now price of sugar is increased by 25% hence new price = Rs 1.25 y
let the new consumption be m kg
so 1.25y x m = yz
m = 0.8z
hence consumption should be reduce by 20% to neutralize the effect of price rise
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