A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.120,000. At the end of the year, out of a total profit of Rs.375,000, C gets Rs.150,000 as his share. How many months after B joined the business, did C join?	Select.
A) 2 months B) 4 months C) 23 months D) 24 months E) 84 months
Assume that C was there in the business for x months   A:B:C = 40000*12 : 60000*10 : 120000*x   = 40*12 : 60*10 : 120x = 40 : 5*10 : 10x   =8 : 10 : 2x   = 4 : 5 : x   C's share = 375000*x/(9+x) = 150000   =&gt; 375x/(9+x) = 150   =&gt; 15x = 6(9+x)   =&gt; 5x = 18 + 2x   =&gt; 3x = 18   =&gt; x = 18/3= 
<gadget id="calculator">18/3</gadget>
<output>6</output>
6   It means C was there in the business for 6 months. Given that B joined the business   after 2 months. Hence C joined after 4 months after 4 months joined   Answer is 4 months
<result>B</result>
A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.120,000. At the end of the year, out of a total profit of Rs.375,000, C gets Rs.150,000 as his share. How many months after B joined the business, did C join?