A and B started a business with initial investments in the ratio 12 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7.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 ?  Choices:
A) 42 months  B) 8 months  C) 9 months  D) 5 months  E) 7 months
Let Sumit in the business for ‘a’ months.   Investment Ratio Amit to Sumith = 12:3   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (12 × 12) / (3 × a) = 8 / 7 =&gt; 24a = 1008 or   a = 1008 / 24= 
<gadget id="calculator">1008 / 24</gadget>
<output>42</output>
42 or 42 months   Option 42 months
<result>A</result>
A and B started a business with initial investments in the ratio 12 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7.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 ?