Question

A and B share profits in the ratio of 3 : 2. A's capital is Rs. 48,000 and B's capital Rs. 32,000. C is
admitted for 1/5th share in profits. What is the amount of capital which C should bring?
(a) Rs. 20,000
(b) Rs. 16,000
(c) Rs. 1.00.000 (d) Rs.64,000​

Answer 1

Answer:

let total share be 1

remaining share = 1-1/5 = 4/5

A's share = 3/5×4/5 = 12/25

B's share = 2/5×4/5 = 8/25

C's share = 1/5

new ratio --- 12:8:5

capital of A : capital of C

12 : 5

48,000 ?

capital of C = 48,000×5/12 = 20,000

alternatively

capital of B : capital of C

8 : 5

32,000 : ?

capital of C = 32,000×5/8 = 20,000