Select the correct answerThe 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₹2.4 lakh₹3.6 lakh₹2.7 lakh₹2.8 lakh

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 = 3 * 0.3 = ₹0.9 lakh or ₹0.9 * 10^6 = ₹9 * 10^5 = ₹9 lakh.

None of the options match the calculated answer. There might be a mistake in the problem or the options provided.

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 = 16/3x and the income of B this year is (6/5)*3x = 18/5x.

Step 3: The total income for the present year is given as ₹8.04 lakh. So, (16/3x + 18/5x) = 8.04 or (80x + 108x)/15 = 8.04. Solving this we get x = 0.3.

Step 4: Therefore, the income of B last year was 3x = 3*0.3 = ₹0.9 lakh or ₹0.9 lakh.

So, none of the options given are correct. The income of B last year was ₹0.9 lakh.