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In this question, we are given the ratio of the monthly incomes of A and B as 7:10, and the ratio of their expenditures as 2:3. We are also told that both A and B save 1,000 per month.
Let`s assume the monthly income of A to be 7x and the monthly income of B to be 10x, where x is a common factor.
According to the given information, the ratio of their expenditures is 2:3. This means that A spends 2x and B spends 3x.
We know that both A and B save 1,000 per month. Therefore, the equation can be formed as follows:
7x - 2x = 1,000 (A`s monthly income minus expenditure)
10x - 3x = 1,000 (B`s monthly income minus expenditure)
Simplifying the equations, we get:
5x = 1,000
7x = 1,000
Solving for x, we get:
x = 200
To find the monthly income of B, we substitute the value of x in the equation:
Monthly income of B = 10x = 10 * 200 = 2,000