The monthly income of two persons is in the ratio 4 5 and their expenditures are in the ratio 7 9 If...........

Quantitative Aptitude (CPO) Ratio, Proportion

The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. If each saves Rs.50 per

month, then their monthly incomes are:

This questions was previously asked in

SSC CPO 9th Nov 2022 Shift 2

Rs.900; Rs.500

Rs.400; Rs.500

Rs.700; Rs.900

Rs.400; Rs.700

- The income ratio is 4:5.

- Let incomes be 4x and 5x respectively.

- Expenditure ratio is 7:9.

- Let expenditures be 7y and 9y respectively.

- Both have savings of Rs.50.

- Therefore, 4x - 7y = 50 and 5x - 9y = 50.

- Solve these equations simultaneously.

- From first equation: 4x = 7y + 50.

- From second equation: 5x = 9y + 50.

- Substitute and solve: x = 100, y = 150.

- Hence, incomes are 4x = Rs.400 and 5x = Rs.500.

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