Question

The price of a commodity rose by 10%. By what percent should a man reduce his consumption so that his expenditure does not increase?​

Answer 1

Answer:

9.09%

Step-by-step explanation:

price: 10 : 11

consumption: 11 :10 (inversely as the expense is same)

%decrease = 1/11*100 = 9.09%

Answer 2

Step-by-step explanation:

let original price be x and consumption quantity be y

so cost of consumption = xy

now revised price is (x+10x/100)

= 11x/10

let revised quantity be z

then

11x/10*z = xy

z = 10y/11

reduction in consumption = y - z

= y - 10y/11

= y/11

percentage reduction

= (y/11)*100/y

= 100/11%

1

= 9 ---. %

11