5) The ratio of income of Ravi and Pankaj is 9 : 5 and the ratio of their expenditures is 7 : 3. Each of them saves Rs. 1680 monthly. Find their monthly income.
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Answer :
- Ravi = ₹7,560
- Pankaj = ₹4,200
Explanation :
Income ratio of -
- Ravi : Pankaj = 9 : 5
Saving ratio of -
- Ravi : Pankaj = 7 : 3
But, each of them saves ₹1,680 monthly.
Let's assume the monthly income of -
- Ravi =
- Pankaj =
And also, monthly expenditure of -
- Ravi =
- Pankaj =
We know that,
- Savings = income - expenditure
∴ Ravi's savings -
∴ Pankaj's savings -
★ Elimination method :
Multiplying eq.(i) by 5 and also, eq.(ii) by 9
We get,
Solving eq.(i) & eq.(ii) :-
Substitute the value of in eq.(i) :-
Therefore, the monthly income of -
- Ravi = = 9(840) = ₹7,560
- Pankaj = = 5(840) = ₹4,200
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