Question

A and b are partners in a business, a contributes 3/5 of the capital for 10 months and b received 2/5 of the profits. For how long b's money was used in the business?

Answer 1

Answer:

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