A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 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) 8 months	B) 9 months	C) 1months	D) 12months	E) 23months
Let B joins for x months. Then   8 months:B = 85000*12 : x* 42500 = 3 : 1   =&gt; 850*12 : 425x= 3 : 1   =&gt; 850*12/ 425x = 3/1= 
<gadget id="calculator">3/1</gadget>
<output>3</output>
3=&gt; 850*4 /425x = 1   =&gt; 2*4/x = 1   =&gt; x = 8   8 monthsnswer is 8 months
<result>A</result>
A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 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?