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?Options₹2.8 lakh₹2.4 lakh₹3.6 lakh₹2.7 lakh
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?Options₹2.8 lakh₹2.4 lakh₹3.6 lakh₹2.7 lakh
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 for the present year is the sum of the incomes of A and B this year, which is ₹8.04 lakh. So, (16x/3) + (18x/5) = 8.04.
Step 4: Solving the above equation, we get x = 0.3.
Step 5: Therefore, the income of B last year was 3x = 30.3 = ₹0.9 lakh or ₹0.910^5 = ₹90,000.
So, none of the options given are correct. The income of B last year was ₹90,000.
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