Problem: Three partners A, B, and C start a business. Twice the capital of A is equal to thrice the capital of B, and the capital of B is 4 times the capital of C. They share the profit in the ratio of their capital. In a particular year, the gross profit is Tk. 2,50,000 and the administrative expenses are 20% of the gross profit. Find the share of profit of each partner.
View all: BANGLADESH BANK | ASSISTANT DIRECTOR | WRITTEN QUESTION SOLVE(MATH) | 2010
Correct Answer: A’s Share 109,090.9l, B’s Share 72,727.27 & 18,181.82
Explanation:
According to question, Capital of B = 4 x
Capital of C = 4C
=> 2A = 3B
=> 2A = 3(4C)
=> A = 6C
So, A:B:C = 6C : 4C : C = 6: 4: 1
Gross profit = 2,50,000Administrative cost = 20% of 2,50,000= 50,000
Net profit = 2,50,000— 50,000 = 2,00,000A’s Share =$\frac{6}{6+4+1}$ x 2,00,000
= 1,09,090.909 Or 1,09,090.91
B’s Share =$\frac{4}{6+4+1}$ x 2,00,000
= 72,727.27C’s Share = $\frac{1}{6+4+1}$ x 2,00,000
= 18,181.82
