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The ratio of income of Aamir to that of Ali is 5: 3 and they expend in the ratio of 9: 5 respectively. If Aamir saves Rs.2,600 and Ali saves Rs.1,800,
Question

The ratio of income of Aamir to that of Ali is 5: 3 and they expend in the ratio of 9: 5 respectively. If Aamir saves Rs.2,600 and Ali saves Rs.1,800, Then their respective incomes are:

A.

Rs.8,000, Rs.4,800

B.

Rs.6,000, Rs.3,600

C.

Rs.9,000, Rs.5,400

D.

Rs.8,500, Rs.5,100

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.

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