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 ?
Pick one.
A) 11 months	B) 17 months	C) 10 months	D) 19 months	E) 12 months
Let the total profit be Rs. z. Then,   B's 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(x) / 4 * 15) / (3x) / 4 * y) = 1/2 &lt;=&gt; 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>C</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 ?