Question #09159

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Answer 1 · 2016-11-04T05:33:06

His sales in each company must be #=$6500#

Let his sales is #$.x# in a week

First Company

His commission is #=5%#
His absolute commission is #=x xx 5/100=(5x)/100#
His earning from first company is #=(5x)/100#

Second company

His salary is #=$260#
His Commission is #=1%#
His absolute commission is #=x xx 1/100=x/100#
His total earnings from company 2 is #=260+x/100#

His total earnings from both the companies are the same.
Then -

#(5x)/100=x/100+260#

Solve for #x#

Multiply both sides with #100#

#((5x)/100)xx100=(x/100+260) xx100#
#(5x)/cancel(100)xx cancel(100)=(x/cancel(100)xxcancel(100))+(260xx100)#
#5x=x+26000#

Add #-x#to both sides

#5x-x=cancel(x)cancel(-x)+26000#
#4x=26000#

Multiply both sides with #1/4#

#cancel(4)x xx1/cancel(4)=26000xx1/4=6500#

His sales in each company must be #=$6500#