The 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?
Question
The 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?
Solution
Let's solve this step by step:
Step 1: Let's assume the incomes of A and B last year were 9x and 13x respectively.
Step 2: According to the problem, the ratio of their incomes of last year to this year is 9:10 for A and 13:15 for B. So, the incomes of A and B this year are (10/9)*9x = 10x and (15/13)*13x = 15x respectively.
Step 3: The problem states that the sum of their present incomes is Rs. 50,000. So, we can set up the equation 10x + 15x = 50,000.
Step 4: Solving this equation gives us 25x = 50,000. Dividing both sides by 25 gives us x = 2,000.
Step 5: Substituting x = 2,000 back into the equation for B's present income gives us 15x = 15*2,000 = Rs. 30,000.
So, the present income of B is Rs. 30,000.
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