Question

Due to an increase in the price of sugar by 25%, by how much per cent must a

householder decrease the consumption of sugar so that there is no increase in the

expenditure on sugar?
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Answer 1

$\huge{\underline{\underline {\mathtt{\purple{Hola\:}\pink{Mate}}}}}$

$\Large\bold\red{Question}$

Due to an increase in the price of sugar by 25%, by how much percent must a house holder decrease the consumption of sugar so that there is no increase in the expenditure of sugar?

$\Large\fbox\blue{ Answer : 20\% }$

$\Large\bold\red{Solution}$

Let the price before increase be Rs.100

As the percentage increase = 25%

∴ Increase in price = $\frac{25}{100}\times 100$

= Rs.25

∴ Increased price = Rs.125

Therefore the percentage by which house holder should decrease the consumption be

$\frac{25}{125} \times 100 \%$

$\Large\fbox\blue{= 20\% }$

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