Question

If the price of sugar rises by 25% , by how much percent should a man reduce his consumption of sugar so that his expenditure on sugar may remain the same ?
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Answer 1

Answer:

The man should reduce 20% sugar consumption.

Step-by-step explanation:

Let , the man used to buy x kg of sugar at a price of 100 rupees .

After , the increase of 25% in price , the price of x kg of sugar will be ,

100 + ( 100 × 25/100 ) = 100 + 25 = 125 rupees.

now , 125 rupees is needed to buy x kg of sugar

           1    rupees is needed to buy ( x/125 ) kg of sugar

         100 rupees is needed to buy ( x/125 × 100 ) = 4x/5 kg of sugar

Then , to make the cost on sugar to remain same , the man should buy 4x/5 kg of sugar in 100 rupees.

Reduction in consumption of sugar in percentage is ,

{( x - 4x/5 )/x} × 100 = {( x/5 )/x} × 100 = 20%

Answer 2

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