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

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
b

Problem: the diluted wine contains only 8 liters of wine and the rest is water . a new mixture whose concentration is 30 % , is to be formed by replacing wine . how many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ? 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 8
b

Problem: a and b play a game where each is asked to select a number from 1 to 16 . if the two numbers match , both of them win a prize . find the probability that they will not win a prize in a single trial . 
Options: a ) 15 / 16 , b ) 1 / 16 , c ) 7 / 8 , d ) 9 / 8 , e ) none of these

a