In this task, you need to provide the correct option for a given problem from the provided options.
--------
Question: Problem: a technology company made a $ 5 million profit on its first $ 15 million in sales and a $ 12 million profit on its next $ 30 million in sales . by what percent did the ratio of profit to sales increase from the first $ 15 million in sales to the next $ 30 million in sales ? 
Options: a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %

Answer: b


Question: Problem: the h . c . f . of two numbers is 32 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 448 , b ) 299 , c ) 421 , d ) 460 , e ) 365

Answer: a


Question: Problem: a certain quantity of 80 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 9 / 11

Answer:
e