Matt gets a $1,600 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $400, how many sales has Matt made?
Choose the correct choice from the following choices:
A) 9 B) 4 C) 5 D) 6 E) 7
Let, Average Commission = x   No. of items sold = y   Total Commission = xy   New Commission = xy+1600   New Average = (xy+1600) / (y+1) = 150+x   i.e. (xy+1600) = (y+1)* (150+x)   i.e. (xy+1600) = (xy+x+150y+150)   i.e. (1450) = (x+150y)   New Commission = 400 = 150+x   i.e. x=250   i.e. y = 8   New Sales = y+1 = 9   9nswer: option 9
<result>A</result>
Matt gets a $1,600 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $400, how many sales has Matt made?