A and B partner in a business. A contribute 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used? Select the correct option:  A) 5 months  B) 10 months  C) 8 months  D) 12 months  E) 7 months
B received 2/3 of the profit.   Then A received remaining 1/3 of the profit.   =&gt; A : 10 months =1/3:2/3=1:2   Let the total capital =x   Then A's capital =x4   10 months's capital =x–x/4=3x/4   Assume 10 months's money was used for b months   Then A:10 months =x/4×15:3x/4×b   ⇒15x/4:3bx/4=1:2   ⇒15:3b=1:2   ⇒5:b=1:2   ⇒5×2=1×b   ⇒b=10   Answer is 10 months.
<result>B</result>
A and B partner in a business. A contribute 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used?