Question
If the price of a wheat bag is reduced by 25%, by what
percentage should a family increase its consumption of wheat bags to ensure that their total expenditure on wheat remains unchanged?Solution
ATQ;
Let initial price of wheat bag be Rs. 100 per kg and initial consumption be 1 kg
So, initial total expenditure = Rs. 100
Reduced price of wheat bag = {100 – (25% of 100)} = Rs. 75
So, new consumption = {100/75} = (4/3) kg
Therefore, percentage increased = [{(4/3) – 1}/1] × 100 = 33.33%
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