The price of cooking oil has increased by 25 | vedclass

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Question

(B) Let the initial price of cooking oil be $100$ units and the initial consumption be $100$ units.Initial expenditure $= 100 	imes 100 = 10000$ unit

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(B) Let the initial price of cooking oil be $100$ units and the initial consumption be $100$ units.Initial expenditure $= 100 	imes 100 = 10000$ units.New price $= 100 + 25 = 125$ units.To keep the expenditure constant at $10000$ units,let the new consumption be $x$ units.$125 	imes x = 10000 \implies x = \frac{10000}{125} = 80$ units.Reduction in consumption $= 100 - 80 = 20$ units.Percentage reduction $= \frac{	ext{Reduction}}{	ext{Initial consumption}} 	imes 100 = \frac{20}{100} 	imes 100 = 20 \%$.Alternatively,using the formula: $	ext{Percentage decrease} = \frac{r}{100+r} 	imes 100 \% = \frac{25}{125} 	imes 100 = 20 \%$.

The price of cooking oil has increased by $25 \%$. The percentage of reduction that a family should effect in the use of cooking oil,so as not to increase the expenditure on this account,is (in $\%$)

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