Question

The monthly pocket money of Ravi and Sanjeev are in the ratio 5 : 7. Their expenditures are in the ratio 3 : 5. If each saves Rs. 80 every month. Find their monthly pocket money.

Answer 1

pocket money =savings +expenditure

let common ratio of monthly pocket money=x

and that of expenditure =y

atq

Answer 2

Provided question:

The monthly pocket money of Ravi and Sanjeev are in the ratio 5: 7. Their expenditures are in the ratio 3: 5. If each saves Rs. 80 every month, find their monthly pocket money.

Solution:

Solution:Given:

The pocket money of Ravi and Sanjeev are in the ratio 5: 7

Here we can take the pocket money of Ravi as 5k and that of Sanjeev as 7k.

Also, it is give that

The expenditure of Ravi and Snajeev are in the ratio 3: 5

So, it can be taken as the expenditure of Ravi as 3m and that of Sanjeev as 5m.

And, each of them saves Rs 80

This can be expressed as:

5k – 3m = 80 __________ (a)

7k – 5m = 80 ___________ (b)

On solving equations (a) and (b), we have

k = 40 and m = 40

Therefore:

The monthly pocket money of Ravi is Rs 5k = Rs 5 x 40 = Rs 200 and that of Sanjeev is Rs 7k = Rs 7 x 40 = Rs 280.