Correct Answer - Option 4 : 4 ∶ 3
Given:
A sum of money is divided into A, B and C in the ratio 5 ∶ 4 ∶ 3.
C got 2000 less than A.
Each of A, B and C contributed an equal share of sum and gave that amount to D such that D now has Rs. 1000 more than C.
Formula:
If the ratio of A and B is a ∶ b, assume A = ak and B = bk where k is a constant.
Calculation:
Let the amounts with A, B and C be 5x, 4x and 3x respectively.
C got 2000 less than A = A – C = 2000
⇒ 5x – 3x = 2000
⇒ x = 1000
Amount with A = 5000, B = 4000 and C = 3000
Let the amount each contributed be k.
D now has 3k.
According to question
(3000 – k) + 1000 = 3k
⇒ 4k = 4000
⇒ k = 1000
Left amount of A = 5000 – k = 4000
Ratio of A and D = 4000/3000 = 4 ∶ 3
∴ Ratio of amount A is left with and the amount D is 4 ∶ 3
