Question 54

The price of the sugar goes up by 30%. By what percent should Sita reduce her consumption so that the expenditure does not increase?

Solution

Since, Expenditure = price$$\times$$ consumption

And Expenditure is constant. So, price is inversely proportional to consumption.

Ratio of price = 10 : 13

So, ratio of consumption = 13 : 10

% decrease in consumption = $$\frac{3}{13}$$ $$\times100$$

= $$\frac{300}{13}$$%

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