A and B formed a partnership and invested a certain sum in a 3:5 ratio. After six months, C joined, paying the same sum as B. What percentage of the profit should be allocated to A, B, and C at the conclusion of the year?
A. 3 : 5 : 2
B. 3 : 5 : 5
C. 6 : 10 : 5
D. Data inadequate
Answer:C
A and B formed a partnership and invested a certain sum in a 3:5 ratio. After six months, C joined, paying the same sum as B. What percentage of the profit should be allocated to A, B, and C at the conclusion of the year?
A. 3 : 5 : 2 B. 3 : 5 : 5 C. 6 : 10 : 5 D. Data inadequate
Explanation: Let A and B's initial investments be 3x and 5x, respectively.A: B: C = (3x x 12): (5x x 12): (5x x 6) = 36:60:30 = 6:10:5.