Question
If the price of a cooking oil bottle is reduced by 30%,
by what percentage should a family increase its consumption of cooking oil to ensure that their total expenditure on cooking oil remains unchanged?Solution
ATQ;
Let initial price of cooking oil be Rs. 100 per liter and initial consumption be 1 liter
So, initial total expenditure = Rs. 100
Reduced price of cooking oil = {100 – (30% of 100)} = Rs. 70
So, new consumption = {100/70} = (10/7) liters
Therefore, percentage increased = [{(10/7) – 1}/1] × 100 = 42.86%
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