Question

the price of wheat is increased by 25%. by what percentage should the consumption be reduced so that the expenditure on wheat remains the same please do answer its urgent thanks in advance

Answer 1

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Answer 2

If the price of wheat is increased by 25% , then the consumption should be reduced by 20% so that the expenditure remains the same.

• Let the cost of wheat and the consumption be x and y respectively.

Now, the total expenditure on wheat will be x×y.

• Now the price of wheat is increased by 25%.

The price of wheat will be 1.25%.

• We have to find the consumption of wheat so that the expenditure remains the same.

• Let us assume the consumption to be k.

• Therefore,

x × y = 1.25x × k

k = y/1.25

k = (0.8)y

• The consumption when the price is increased is 0.8y.

• The percentage reduction in the consumption of wheat = $\frac{y - 0.8y}{y}$ × 100

The percentage reduction in the consumption of wheat = 20%