The mother should reduce her consumption of wheat by approximately 9.091% so that her expenditure on wheat does not increase.
How to determine the percentage by which the mother should reduce her consumption
To determine the percentage by which the mother should reduce her consumption of wheat in order to keep her expenditure on wheat unchanged, consider the relationship between the price increase and the reduction in consumption.
Let's assume the initial price of wheat is $100 and the initial consumption is 100 units.
The total expenditure on wheat before the price increase is $100 * 100 units = $10,000.
After the price increase of 10%, the new price of wheat is $100 + ($100 * 10%) = $100 + $10 = $110.
To keep the expenditure on wheat unchanged, the mother needs to spend the same $10,000 after the price increase.
Let's assume the mother reduces her consumption by x percent.
The new consumption of wheat will be (100 - x)% of the initial consumption, which is (100 - x)% of 100 units = (100 - x) units.
The new expenditure on wheat will be the new price multiplied by the new consumption:
New expenditure = $110 * (100 - x) units
Since we want the new expenditure to be equal to the initial expenditure:
$10,000 = $110 * (100 - x)
Simplify the equation:
(100 - x) = $10,000 / $110
(100 - x) = 90.909
x = 100 - 90.909
x ≈ 9.091
Therefore, the mother should reduce her consumption of wheat by approximately 9.091% so that her expenditure on wheat does not increase.