The monthly incomes of Abhinav and Rekha are in the ratio 6:5 and their monthly expenditures are in the ratio 9:8. If the income of Abhinav is twice the expenditure of Rekha, then the ratio of savings of Abhinav and Rekha is:

The monthly incomes of Abhinav and Rekha are in the ratio 6:5 and their monthly expenditures are in the ratio 9:8.

Let's assume the monthly incomes of Abhinav and Rekha are 6y and 5y respectively.

Let's assume the monthly expenditures of Abhinav and Rekha are 9z and 8z respectively.

If the income of Abhinav is twice the expenditure of Rekha.

6y = 2 $$\times$$ 8z

3y = 8z

$$\frac{y}{z}\ =\ \frac{8}{3}$$

So let's assume y = 8a and z = 3a.

The ratio of savings of Abhinav and Rekha = (6y-9z) : (5y-8z)

= $$(6\times8a-9\times3a) : (5\times8a-8\times3a)$$

= $$(48a-27a) : (40a-24a)$$

= 21 : 16