Question 111

The price of sugar is decreased by 10%. By what percent can a person increase the consumption so that there is no change in the expenditure?

Solution

Let the initial price of Sugar is Rs. x and initial monthly consumption of sugar is y kg. So, monthly expenditure towards use of sugar is

x $$\times\ $$ y = Rs. xy

When sugar price increased by 10% then price of sugar will become 1.1 x. To maintain expenditure constant, Rs. xy to be fixed. Hence consumption of sugar to be reduced by 1 * 100/1.1 = 9.1 % or $$\frac{100}{9}\ \%\ $$ Ans.


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