The Ram Shyam Business Problem goes like this :
Question :
Ram starts a business investing Rs.60000. After 3 months, Shyam joined him investing Rs.75000. Find the ratio of Profit shared after a year.
a). 16 : 15
b). 4 : 5
c). 3 : 5
d). 11 :15
Solution :
This should take 10 seconds at max. Forget the thousands. Just take 60 rs for 12 months and 75 Rs for (12 – 3) = 9 months.
So that is (60 X 12 ) : (75 X 9)
= 720 : 675
Divide by 45 ( Common factor)
= 16 : 15 .
Hence the correct option is a). 16 : 15 
Understood ? If you have a question, you can post it on the forums and Ill gladly solve it for you