Question

The monthly pocket money of Ravi and Sanjeev are in the ratio 5:7. Their expenditure ratio is 9:13. If each saves Rs. 40, find the monthly pocket money?

Answer 1

Answer:₹400 and₹560

Step-by-step explanation:

Let the pocket money and expenditure be in terms of x and y respectively.

5x-9y=40----->equation 1

7x-13y=40----->equation 2

By solving equations 1 and 2 we get,

-2x+4y=0

4y=2x

2y=x----->equation 3

Substituting equation 3 in equation 1 we get,

5x-9y=40

5(2y)-9y=40

10y-9y=40

y=40

Substituting y=40 in equation 3 we get,

2y=x

2(40)=x=80

Thus, monthly pocket money of Ravi=5×80=₹400

Monthly pocket money of Sanjeev=7×80=₹560