The ratio of the incomes of A and B last year was 9 13 Ratio of their incomes of last year to this y...........

Quantitative Aptitude ( CCS) Ratio, Proportion

The ratio of the incomes of A and B last year was 9 : 13. Ratio of their incomes of last year to this year is 9 : 10 and 13 : 15 respectively. The sum of their present incomes is Rs 50,000. What is the present income of B?

Rs 32,000

Rs 24,000

Rs 20,000

Rs 30,000

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Explanation:

Ratio of last year income to this year income of A is 9 : 10. So income of A last year is 9x and this year is 10x.
Ratio of last year income to this year income of B is 13 : 15. So income of B last year is 13y and this year is 15y.
So ratio of the incomes of A and B last year was 9x : 13y
Now given that ratio of the incomes of A and B last year was 9 : 13.
So 9x/13y = 9/13
This gives x = y
Total of incomes of A and B this year = 10x+15y = 10x+15x = 25 x (because x=y)
So 25x = 50,000
This gives x = 2,000
So present income of B = 15y = 15x = 15*2000 = 30,000