The ratio of the incomes of A and B is 3 5 whereas the ratio of their expenditures is 4 7 respective...........

Quantitative Aptitude (CPO) Ratio, Proportion

The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save Rs16,000 and

Rs26,000, respectively, then what is the difference (in Rs) between their expenditures?

This questions was previously asked in

SSC CPO 11th Dec 2019 Shift-1

6800

5400

5000

6000

- The ratio of incomes of A and B is given as 3:5. Let's denote A's income as 3x and B's income as 5x.

- The ratio of expenditures of A and B is 4:7. Let's denote A's expenditure as 4y and B's expenditure as 7y.

- A saves Rs.16,000, which means \(3x - 4y = 16,000\).

- B saves Rs.26,000, which means \(5x - 7y = 26,000\).

- We have two equations:

1. \(3x - 4y = 16,000\)

2. \(5x - 7y = 26,000\)

- Solving these equations simultaneously helps to find the values of x and y.

- Substitute x and y back to find their expenditures.

- The difference in expenditures of A and B is calculated to be Rs. 6,000.

- Option 4: 6000 is the correct answer.

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