A starts a business with a capital of Rs. 8500. B joins in the business with Rs.17000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?  Choose the correct answer
A) 2 months
B) 6 months
C) 7 months
D) 8 months
E) None of these
Explanation :   Let B joins for x months. Then   A:B = 8500*12 : x* 17000 = 3 : 1   =&gt; 85*12 : 170x= 3 : 1   =&gt; 85*12/ 170x = 3/1= 
<gadget id="calculator">3/1</gadget>
<output>3</output>
3=&gt; 85*4 /170x = 1   =&gt; 2/x = 1   =&gt; x = 2. 2 monthsnswer : Option 2 months
<result>A</result>
A starts a business with a capital of Rs. 8500. B joins in the business with Rs.17000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?