A & B partner in a business , A contribute 1/4 of the capital for 15 months & B received 2/3 of the profit . For how long B's money was used	Pick
A) 12 months	B) 10 months	C) 14 months	D) 16 months	E) None of these
Explanation :   B received 2/3 of the profit   =&gt; 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   =&gt; 15/4 : 3b/4 = 1 : 2   =&gt; 15 : 3b = 1 : 2   =&gt; 5 : b = 1 : 2   =&gt; 5/b = 1/ 2   =&gt; b = 5*2= 
<gadget id="calculator">5*2</gadget>
<output>10</output>
10. Answer : Option 10 months
<result>B</result>
A & B partner in a business , A contribute 1/4 of the capital for 15 months & B received 2/3 of the profit . For how long B's money was used