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swerThe ratio of the incomes of A and B last year was 9:10, respectively. The ratios of their individual incomes of the last year and the present year are 3:5 and 5:7, respectively. If their total income for the present year is 1,16,000. What is the present year income difference?Options3,0002,0004,0005,000

Question

swerThe ratio of the incomes of A and B last year was 9:10, respectively. The ratios of their individual incomes of the last year and the present year are 3:5 and 5:7, respectively. If their total income for the present year is 1,16,000. What is the present year income difference?Options3,0002,0004,0005,000

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Solution

Let's solve this step by step:

Step 1: Let's assume the incomes of A and B last year were 9x and 10x respectively.

Step 2: According to the problem, the ratios of their individual incomes of the last year and the present year are 3:5 and 5:7 respectively. So, we can say that if A's income last year was 9x, his income this year is (9x * 5/3) = 15x. Similarly, if B's income last year was 10x, his income this year is (10x * 7/5) = 14x.

Step 3: The total income of A and B this year is given as 1,16,000. So, we can write the equation as 15x + 14x = 1,16,000. Solving this equation gives us x = 4000.

Step 4: Now, we can find the present incomes of A and B by substituting x = 4000 in 15x and 14x. So, A's present income = 15x = 154000 = 60,000 and B's present income = 14x = 144000 = 56,000.

Step 5: The difference in their incomes this year is 60,000 - 56,000 = 4,000.

So, the present year income difference is 4,000.

This problem has been solved

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