Question

If the price of the sugar is decreased by 20%. Find by how much percent must a house holder
increase her consumption of sugar so as not to increase the expenditure?

Answer 1

Answer:

Let the cost of sugar(per kg) be ₹ x and the consumption be y kgs.

Expenditure=₹(x.y)

Reduction in the price= 20% of x= x/5

New price=x-x/5=4x/5

Expenditure=₹(x.y)

=>new price of sugar×new consumption=₹(x.y)

=>4x/5×consumption=x.y

=>consumption=(x.y)÷(4x/5)

=>consumption=5y/4 kgs

Increase in consumption=New consumption-initial consumption

=5y/4-y

=y/4

Percentage increase={(increase / initial consumption)×100}%

=[{(y/4)/y}×100]%

={(y/4y)×100}%

=(1/4×100)%

=25%

.

Increase in consumption should be 25%

. .

. .