e 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₹3.6 lakh₹2.7 lakh₹2.4 lakh₹2.8 lakh
Question
e 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₹3.6 lakh₹2.7 lakh₹2.4 lakh₹2.8 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, we can say that 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, we can write the equation as (16/3x + 18/5x) = 8.04.
Step 4: Solving this equation, we get the value of x as 0.6.
Step 5: Substituting the value of x in the income of B last year, we get 3x = 3*0.6 = ₹1.8 lakh.
So, the income of B last year was ₹1.8 lakh. But this option is not given in the options. There seems to be a mistake in the problem or the options provided.
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