Correct option is A
Given:
1. The ratio of incomes of Aamir to Ali is 5:3.
2. The ratio of expenditures of Aamir to Ali is 9:5.
3. Aamir saves Rs. 2,600 and Ali saves Rs. 1,800.
Solution:
Let the incomes of Aamir and Ali be 5x and 3x, respectively, and their expenditures be 9y and 5y, respectively.
According to the problem, we can set up the following equations based on their savings:
For Aamir:
5x - 9y = 2600
For Ali:
3x - 5y = 1800
Solving these equations simultaneously:
Solution for x and y:
x = 1600, y = 600
Thus, the incomes of Aamir and Ali are calculated as follows:
Aamir's income = 5 * x = 5 * 1600 = Rs. 8000
Ali's income = 3 * x = 3 * 1600 = Rs. 4800
Therefore, the respective incomes of Aamir and Ali are Rs. 8000 and Rs. 4800.