The annual incomes of Anand and Bharath are in the ratio 3:5 and their annual expenses are in the ratio 1:3. If each of them saves Rs. 10,000 at the end of the year, then the annual income of Bharath is:

Let the annual incomes of Anand and Bharath be 3x and 5x respectively.
Let their annual expenses be 1y and 3y respectively.

We know that:

Income−Expenditure=Savings
For Anand:

3x−y=10000— (Equation 1)
For Bharath:

5x−3y=10000— (Equation 2)
From Equation 1, we can write:

y=3x−10000
Substitute this value of y into Equation 2:

5x−3(3x−10000)=10000
5x−9x+30000=10000
−4x=10000−30000
−4x=−20000
x=5000
Now, calculate the annual income of Bharath:

Bharath’s Income=5x=5×5000=Rs. 25,000