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Select the correct answerThe ratio of incomes of two persons 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?OptionsRs. 32,000Rs. 20,000Rs. 30,000Rs. 24,000

Question

Select the correct answerThe ratio of incomes of two persons 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?OptionsRs. 32,000Rs. 20,000Rs. 30,000Rs. 24,000

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Solution

Let's solve this step by step:

  1. The ratio of incomes of A and B last year was 9:13. This means if A earned 9x, B earned 13x.

  2. The ratio of their incomes of last year to this year for A is 9:10 and for B is 13:15. This means if A's income this year is 10y, last year it was 9y. Similarly, if B's income this year is 15z, last year it was 13z.

  3. From the above, we can equate 9x = 9y and 13x = 13z. From this, we get x = y and x = z. So, y = z = x.

  4. The sum of their present incomes is Rs. 50,000. So, 10y + 15z = 50,000. Substituting y = z = x, we get 10x + 15x = 50,000. Simplifying this, we get 25x = 50,000. Solving for x, we get x = 2000.

  5. The present income of B is 15z = 15x = 15*2000 = Rs. 30,000.

So, the present income of B is Rs. 30,000.

This problem has been solved

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