Solution:
Given:
A : B : C = 3 : 4 : 5
After 4 months B withdrew his 50% share and C withdrew his 20% share 4 months prior to completion of the year
Total Profit = 31000
Concept:
Invested amount and Period for investment gets multiplied to get the Profit ratio
Calculation:
Let the shares of A, B, and C be 3x, 4x, and 5x respectively
Total share of A = 3x × 12 = 36x
Total share of B = (4x × 4 ) + (2x × 8) = 16x + 16x = 32x
The total share of C
5x for 8 month & 5x (1 - 20/100) = 4x for 4 month
= (5x × 8) + (4x × 4) = 40x + 16x = 56x
∴ Profit ratio = 36 : 32 : 56 = 9 : 8 : 14
⇒ Share of A in the profit = (9/31) × 31000 = 9000
