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 ₹80 every month, find their monthly pocket money
Answers
Step-by-step explanation:
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 ₹80 every month, find their monthly pocket money
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.