Question
If the price of the cooking gas is increased by 15%, by
how many percent should a family reduce its consumption so as not to exceed its budget on cooking gas?Solution
Let the original consumption be 100 units.
Price goes up by 15%, so new price per unit becomes 115% of the original.
To keep the total cost the same = 100/115 × 100 = 86.96 units
So, new consumption = 86.96 units
Reduction = 100 - 86.96 = 13.04 units
Percentage reduction = 13.04%
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