In this task, you need to provide the correct option for a given problem from the provided options.

Problem: a ratio between two numbers is 4 : 5 and their l . c . m . is 200 . the first number is
Options: a ) 60 , b ) 40 , c ) 20 , d ) 15 , e ) none
b

Problem: there are 180 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ?
Options: a ) 100 , b ) 104 , c ) 108 , d ) 112 , e ) 116
c

Problem: praveen starts business with rs . 3780 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ' s contribution in the capital ?
Options: a ) s . 7500 , b ) s . 8000 , c ) s . 8500 , d ) s . 9720 , e ) s . 6000
d