The ratio of the incomes of A and B last year was 4:3, respectively. The ratios of their individual incomes of the last year and the present year are 3:4 and 5:6, respectively. If their total income for the present year is ₹8.04 lakh, then the income of B last year was?
Question
The ratio of the incomes of A and B last year was 4:3, respectively. The ratios of their individual incomes of the last year and the present year are 3:4 and 5:6, respectively. If their total income for the present year is ₹8.04 lakh, then the income of B last year was?
Solution
Let's solve this step by step:
Step 1: Let's assume the incomes of A and B last year were 4x and 3x respectively.
Step 2: According to the problem, the ratios of their individual incomes of the last year and the present year are 3:4 and 5:6 respectively. So, the income of A this year is (4/3) * 4x = 16x/3 and the income of B this year is (6/5) * 3x = 18x/5.
Step 3: The total income of A and B this year is given as ₹8.04 lakh. So, (16x/3 + 18x/5) = 8.04 or, (80x + 54x) / 15 = 8.04. Solving this we get x = 0.06.
Step 4: Therefore, the income of B last year was 3x = 3*0.06 = ₹0.18 lakh.
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