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Question

If the price of cooking gas increases by 36% then by what percent should a family decrease the consumption of cooking gas. So that their expenditure on cooking gas remains the same as earlier?


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Solution

Step 1. Find the price of cooking gas after increase in price:

Let the original price of cooking gas be x

New price of cooking gas =x+36%

x+36100136x100

Step 2. Find the decrease on consumption

Let y be the percentage to be reduced from the consumption of

Now, for the expenditure to be the same as earlier is 136x1001-y%=x

136x1001-y%=x1361001-y100=11-y100=1001361-100136=y10036136=y100y=3600136y=26%

Hence, the decrease in consumption of the family is 26%.


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