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: a and b start a business , with a investing the total capital of rs . 500000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 15000 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ? 
Options: a ) a ) 590280 , b ) b ) 590100 , c ) c ) 591900 , d ) d ) 590000 , e ) e ) 927000

A: d
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Q: Problem: machine p and machine q are each used to manufacture 660 sprockets . it takes machine p 10 hours longer to produce 660 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ? 
Options: a ) 5 , b ) 15 , c ) 55 , d ) 95 , e ) 6

A: e
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Q: Problem: by selling 12 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ? 
Options: a ) 8 , b ) 76 , c ) 17 , d ) 7 , e ) 77

A:
a
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