one year ago, the ratio of income of A to B is 3:4 .The ratio of individual income of last year and present year are 4:5 and 2:3 respectively. If their present total income is 3250 ₹. Then find the income of A at present.
Answers
The ratio of A and B’s income last year was 3:4 the ratio of their own incomes of last year and this year, it’s 4:5 and 2:3 respectively. If the total sum of their present incomes is ₹4,160, then what is the present income of A?
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4 Answers
Uma Subramanian, studied at Mumbai, Maharashtra, India (1977)
Answered February 7, 2020 · Author has 1.9K answers and 320.8K answer views
Taking x as the constant
Last year A”s income = 3x and B’s = 4x (3:4)
A’ s last year's and this year's Income Ratio =4:5.
This means that 4/9 of A’s income is represented by 3. This year it has increased to 5/9. Hence
When 4/9=3x then 5/9= 5/9×3×9/4=15/4x…being A’s present income ratio (1)
Similarly B’s last year’s and this year’s income is 2:3.
This means that 2/5 of B’s income is represented by 4. This year it has increased to 3/5. Hence when 2/5=4,
then
3/5 = 3/5×4×5/2= 6. (2)
Therefore Ratio of the incomes of A and B this year is 15/4 : 6 or 15:24 = 5:8
It is given that the sum of their incomes is Rs.4160/- Hence:
A’s income = 4160 × 5/13 = Rs.1600/-
sry for wrong answer
instead of 4160 enter 3250 at last calculation.
other calculation are same.