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

[Q]: Problem: two numbers are in respectively 10 % and 40 % more than a third number . the ratio of the two numbers is ? 
Options: a ) 11 : 14 , b ) 7 : 9 , c ) 17 : 25 , d ) 15 : 26 , e ) 2 : 3
[A]: a


[Q]: Problem: a certain bag contains 60 balls — 22 white , 10 green , 7 yellow , 15 red , and 6 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? 
Options: a ) 0.09 , b ) 0.65 , c ) 0.54 , d ) 0.85 , e ) 0.91
[A]: b


[Q]: Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people b who purchased only book a ? 
Options: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500
[A]:
d