A, B and C are partners in a business. Their shares are in the proposition 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 -

A Tk. 1240

B Tk. 1250

C Tk. 1300

D Tk. 1400

Solution

Correct Answer: Option A

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.

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