A and B started a business with initial investments in the ratio 2 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7.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 the most appropriate option: A) 6 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 = 2 : 3.   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (2 × 12) / (3 × a) = 8 / 7 =&gt; 24a = 168 or   a = 168 / 24= 
<gadget id="calculator">168 / 24</gadget>
<output>7</output>
7 or 7 months   Option 7 months
<result>E</result>
A and B started a business with initial investments in the ratio 2 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7.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 ?