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:

$Quantity\times Rate=Price$

Given : Q1= 60

R1 =r

P1= p

Q2=q

R2=1.44r

P2=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 $=\frac{720}{14.4}$ = 50 kgs. the diffrence in consumption is 60-50= 10 kg. Option (a)