The 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?Options5,0004,0003,0002,000
Question
The 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?Options5,0004,0003,0002,000
Solution
To solve this problem, we need to follow these steps:
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First, we know that the ratio of A and B's incomes last year was 9:10. This means that we can express their incomes as 9x and 10x, respectively.
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We also know that the ratios of their individual incomes of the last year and the present year are 3:5 and 5:7, respectively. This means that if A's income last year was 9x, his income this year is (5/3)*9x = 15x. Similarly, if B's income last year was 10x, his income this year is (7/5)*10x = 14x.
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We know that their total income this year is 1,16,000. So, we can set up the equation 15x + 14x = 1,16,000. Solving for x gives us x = 4,000.
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Therefore, A's income this year is 15x = 154,000 = 60,000 and B's income this year is 14x = 144,000 = 56,000.
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The difference in their incomes this year is 60,000 - 56,000 = 4,000.
So, the present year income difference is 4,000.
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