Question

The price of wheat increased by 10 %. By how much per cent should mother reduce her consumption in the house so that her expenditure on wheat does not increase?

Answer 1

Let the price = P and the consumption = C

Total expenditure = P x C

If the price increases by 10% = 1.1 P

To maintain expenditure at P x C,

Consumption  =  $\frac{P * C}{1.1 P}$  =  $\frac{C}{1.1}$  =  0.91 C

% reduction in consumption  =  $\frac{C - 0.91 C}{C}$ X 100  =  $\frac{0.09 C}{C}$ X 100  =  9%

Answer 2

Answer:

1.    10% of 100 = 10

2.    100+10 = 110

3.    10/110 = 0.0909

4.    0.0909x100 = 9.09%

The mother should reduce her consumption in the house by 9.09% so her expenditure on wheat does not increase.