Question

The price of milk increased by 10%. By how much should a family reduce their consumption so that the expenditure of milk does not increase?

Answer 1

Step-by-step explanation:

Let price of milk be Rs.x/litre

Consumption by family = y litres

Total Expenditure = Rs. xy

Now , New price of milk = Rs 1.1x (due to 10%rise)

let us assume , new consumption be y' litres

Expenditure has to be constant, as per the question

So xy = 1.1xy'

Thus , y' = y/1.1 = 0.909y

So percentage of change in consumption = (y - 0.909y)/y X 100% =9.09%

Answer 2

Answer:

9.09%

Step-by-step explanation:

Expenditure = Price x Quantity

Let original price of milk is Rs 100 per litre and original quantity of milk = 33 litres

Original Expenditure = Rs 3300

New price of milk after 10% increase is Rs 110 per litre

Since expenditure is same, new quantity is 3300/110 = 30 litres.

Decrease in consumption is 33 - 30 = 3 litres.

=> Percentage decrease = 3/33 x 100 = 9 ¹/11

= 9.09%

Ans:- The family should reduce their consumption by 9.09% so that the expenditure of milk does not increase.