A and B started a business with initial investments in the ratio 8 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7.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 correct option.
A) 6 months B) 28 months C) 9 months D) 5 months E) 7 months
Let Sumit in the business for ‘a’ months.   Investment Ratio Amit to Sumith = 8 : 3.   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (8 × 12) / (3 × a) = 8 / 7 =&gt; 24a = 672 or   a = 672 / 24= 
<gadget id="calculator">672 / 24</gadget>
<output>28</output>
28 or 28 months   Option 28 months
<result>B</result>
A and B started a business with initial investments in the ratio 8 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7.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 ?