Question 51

The incomes of Ramesh and Suresh are in the ratio of 5: 7, and their expenditures are in the ratio of 1 : 2. If each of them saves ₹15,000, then what is Suresh's income?

Solution

The incomes of Ramesh and Suresh are in the ratio of 5: 7.

Let's assume the incomes of Ramesh and Suresh are 5y and 7y respectively.

their expenditures are in the ratio of 1 : 2.

Let's assume the expenditures of Ramesh and Suresh are z and 2z respectively.

If each of them saves ₹15,000.

5y-z = 15000    Eq.(i)

7y-2z = 15000    Eq.(ii)

Multiply Eq.(i) by 2.

10y-2z = 30000    Eq.(iii)

So Eq.(iii)-Eq.(ii) ==> 10y-2z-(7y-2z) = 30000-15000

10y-2z-7y+2z = 15000

3y = 15000

y = 5000

So the income of Suresh = 7y = $$7\times5000$$ = ₹35,000


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