Question

The price of sugar has risen by $20\%$. By how much per cent must a housewife reduce her consumption of sugar, so as not to increase her expenditure on it?

Answer 1

suppose, price of sugar be $100$ rupees per $kg$

So, for $1$ rupees she get $=10grams$

Now, price of sugar is $120$

So, for $1$ rupees she get $=\frac{100}{12}g$

So, for $100$ she get

$\Rightarrow 833.3g$

So, $\%$ decrease in consumption

$=\frac{1000-833.3}{1000}\times 100$

$=166.7\times 10$

$=16.67\%$