A and B started a business with initial investments in the ratio 10 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7.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 ?  Select the correct option:	A) 6 months	B) 8 months	C) 9 months	D) 35 months	E) 7 months
Let Sumit in the business for ‘a’ months.   Investment Ratio Amit to Sumith = 10:3   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (10 × 12) / (3 × a) = 8 / 7 =&gt; 24a = 840 or   a = 840 / 24= 
<gadget id="calculator">840 / 24</gadget>
<output>35</output>
35 or 35 months   Option 35 months
<result>D</result>
A and B started a business with initial investments in the ratio 10 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7.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 ?