In this task, you need to answer the given multiple-choice question on the gain. Gain is the value by which to multiply the input. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Q: Problem: john makes $ 50 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ? 
Options: a ) 16 % , b ) 16.66 % , c ) 17.9 % , d ) 18.12 % , e ) 60 %

A: e
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Q: Problem: machine a and machine b are each used to manufacture 880 sprockets . it takes machine a 10 hours longer to produce 880 sprockets than machine b . machine b produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machineaproduce ? 
Options: a ) 6 , b ) 6.6 , c ) 8.8 , d ) 100 , e ) 110

A: c
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Q: Problem: an empty wooden vessel weighs 8 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled . 
Options: a ) 3 / 7 , b ) 5 / 9 , c ) 1 / 24 , d ) 4 / 9 , e ) 2 / 5

A:
a
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