Question
If the price of a sugar bag is reduced by 40%, by what
percentage should a family increase its consumption of sugar bags to ensure that their total expenditure on sugar remains unchanged?Solution
ATQ;
Let initial price of sugar bag be Rs. 100 per kg and initial consumption be 1 kg
So, initial total expenditure = Rs. 100
Reduced price of sugar bag = {100 – (40% of 100)} = Rs. 60
So, new consumption = {100/60} = (5/3) kg
Therefore, percentage increased = [{(5/3) – 1}/1] × 100 = 66.67%
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