The price of cooking oil has increased by $25 %$ . By what percentage should the consumption be cut down such that the expenditure on purchasing cooking oil remains the same?

$15 %$

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$20 %$

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$25 %$

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$30 %$

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Solution

The correct option is B
$20 %$

The percentage reduction is calculated on the new price of the oil.
Let the price of cooking oil be Rs. 100
$\Rightarrow$ Increase in price $= 25 %$ of Rs. 100 = Rs. 25
$∴$ Increased price = Rs. 100 + Rs. 25 = Rs. 125
Required percentage reduction
$\Rightarrow$ $\frac{C h a n g e i n p r i c e}{O r i g i n a l p r i c e} \times 100$
$\Rightarrow$ $= \frac{25}{125} \times 100 = 20 %$

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The price of cooking oil has increased by 25%. By what percentage should the consumption be cut down such that the expenditure on purchasing cooking oil remains the same?

The price of cooking oil has increased by $25 %$ . By what percentage should the consumption be cut down such that the expenditure on purchasing cooking oil remains the same?