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Question 135
The price of sugar goes up by 20%. If a housewife wants the expenses on sugar to remain the same, she should reduce the consumption by
Solution
Initial price $$x$$ (say) and consumption is $$y$$ , hence expense will be $$xy$$.
After price increment price is $$\frac{120x}{100}$$ and expense should remain $$xy$$.
Hence $$\frac{120x}{100} \times N=xy$$ (where N is new expense)
                       $$ N=\frac{100y}{120} $$
Decrement in consumption is=$$\frac{20y}{120}$$ or $$\frac{50}{3}$$ %
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