Question

A and b are partners in a business. A contributes 1 4 of the capital for 15 months and b received 1 4 of the profit. The time that b's money was used is

Answer 1

B received 2/3 of the profit

=> A : B = 1 : 2

Let the total capital = x

Then A's capital = x/4

B's capital = x – x/4 = 3x/4

Assume B's money was used for b months

Then A:B = (x/4)*15 : (3x/4)*b = 1 : 2

=> 15/4 : 3b/4 = 1 : 2

=> 15 : 3b = 1 : 2

=> 5 : b = 1 : 2

=> 5/b = 1/ 2

=> b = 5*2 = 10