The ratio of the present incomes of X and Y is 5 8 and the ratios of their individual incomes in the...........

Quantitative Aptitude (MTS) Ratio, Proportion

The ratio of the present incomes of X and Y is 5 : 8 and the ratios of their individual incomes, in the last year and in the present

year, are 2 : 3 and 3 : 4, respectively. If their total income for the last year was Rs56,000, then what is the present income of Y?

This questions was previously asked in

SSC MTS 26th October 2021 Shift-2

Rs48,000

Rs36,000

Rs40,000

Rs30,000

- The present income ratio of X and Y is given as 5:8.

- The income ratios for last year to this year are 2:3 for X and 3:4 for Y.

- Total income last year was Rs56,000.

- Let the last year's incomes of X be 2k and Y be 3m. Then this year, X's income is 3k and Y's is 4m.

- 2k + 3m = 56,000 (last year's total income).

- Given this year's incomes: 3k/4m = 5/8. Solving gives k/m = 20/24 = 5/6.

- Substitute k = 5t and m = 6t: 10t + 18t = 56,000, so t = Rs2,000.

- Therefore, current income of Y = 4m = 4(6t) = 24t, = Rs48,000.

Option 1: Rs48,000

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