A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B’s money was used?	Choose the correct choice from the following choices:
A) 4 months  B) 6 months  C) 8 months  D) 10 months  E) None
Sol.   Let the total profit be Rs. z. Then,   B’ share = Rs. 2z/3, A’s share = Rs. [z - 2z/3] = Rs. z/3   ∴ A : B = z/3 : 2z/3 = 1 : 2.   Let the total capital be Rs. x and suppose B’s money was used for x months. Then,   [1/4 x * 15] / [3/4 x * y] = 1/2 ⇔ y = [15 * 2 / 3= 
<gadget id="calculator">15 * 2 / 3</gadget>
<output>10</output>
10.   Thus, B’s money was used for 10 months.   Answer 10 months
<result>D</result>
A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B’s money was used?