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

[Q]: Problem: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is
Options: a ) 7000 , b ) 9000 , c ) 8000 , d ) 9900 , e ) 7900
[A]: b

[Q]: Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many y acres were used for corn ?
Options: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517
[A]: c

[Q]: Problem: if 60 % of a number is equal to one half of another number , what is the ratio of first number to the second number ?
Options: a ) 4 : 5 , b ) 5 : 6 , c ) 6 : 5 , d ) 5 : 4 , e ) 2 : 5
[A]:
b