Question

When price of wheat increased by 44%, a family reduced its consumption in such a way that the expenditure on wheat is only 20% more than before. If 60 kg of wheat was the previous consumption. Find the decrease in the consumption.

• A. 10 kg
• B. 50 kg
• C. 20 kg
• D. 5 kg
• E. 65 kg

Answer 1

The correct option is A 10 kg

Method 1:

Quantity X Rate = Price

Given Q1= 60

R1 =r

P1= p

Q2=q

R2=1.44r

P2=1.2p

Hence (Q1 X R1)/(Q2 X R2)=P1/P2
(60 X r)/(Q X 1.44r)=P/1.2p

Hence Q=50

So the difference in price is 50.

Method 2:

Let the price per kg of wheat = Rs 10, hence total expenditure initially = Rs 600

The expenditure increases by 20% = Rs 720

Also, the price increases by 44%, hence price per kg = 14.4

Thus, new consumption = 720/14.4 = 50 kgs. the diffrence in consumption is 60-50= 10 kg. Option (a)