A, B and C are partners in a business. Their shares are in the proportion of 1/3 : 1/4 : 1/5. A withdraws half of his capital after 15 months and after another 15 months, a profit of Tk. 4340 is divided. The share of C is?

Quesation: A, B and C are partners in a business. Their shares are in the proportion of 1/3 : 1/4 : 1/5. A withdraws half of his capital after 15 months and after another 15 months, a profit of Tk. 4340 is divided. The share of C is?

Solution:
Ratio of initial investments = 1/3 : 1/4 : 1/5
= 20 : 15 : 12

Let their initial investments be 20x, 15x and 12x respectively.

A : B : C = (20x × 15) + (10x × 15): (15x × 30) : (12x × 30)
= 450x : 450x : 360x
= 5 : 5 : 4

Sum of the ratio = 5 + 5 + 4 = 14.

C's share = 4340 × (4/14)
= 1240 Tk.