A and B started a business with initial investments in the ratio 4 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ? Choose one.
A) 6 months
B) 8 months
C) 9 months
D) 5 months
E) 14 months
Let Sumit in the business for ‘a’ months.   Investment Ratio Amit to Sumith = 4 : 3.   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (4 × 12) / (3 × a) = 8 / 7 =&gt; 24a = 336 or   a = 336 / 24= 
<gadget id="calculator">336 / 24</gadget>
<output>14</output>
14 or 14 months   Option 14 months
<result>E</result>
A and B started a business with initial investments in the ratio 4 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?