The ratio of monthly incomes of A and B is 7 : 10. The ratio of their expenditures is 2 : 3. If each of A and B saves 1,000 per month, then what will be the monthly income of B ?

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Q: 52 (CAPF/2021)
The ratio of monthly incomes of A and B is 7 : 10. The ratio of their expenditures is 2 :
3. If each of A and B saves 1,000 per month, then what will be the monthly income of B ?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,6,3,2,6,1,0

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