# Question 09159

Nov 4, 2016

His sales in each company must be =$6500 #### Explanation: Let his sales is $.x in a week

First Company

His commission is =5%
His absolute commission is $= x \times \frac{5}{100} = \frac{5 x}{100}$
His earning from first company is $= \frac{5 x}{100}$

Second company

His salary is =$260 His Commission is =1% His absolute commission is $= x \times \frac{1}{100} = \frac{x}{100}$His total earnings from company 2 is $= 260 + \frac{x}{100}$His total earnings from both the companies are the same. Then - $\frac{5 x}{100} = \frac{x}{100} + 260$Solve for $x$Multiply both sides with $100$$\left(\frac{5 x}{100}\right) \times 100 = \left(\frac{x}{100} + 260\right) \times 100$$\frac{5 x}{\cancel{100}} \times \cancel{100} = \left(\frac{x}{\cancel{100}} \times \cancel{100}\right) + \left(260 \times 100\right)$$5 x = x + 26000$Add $- x$to both sides $5 x - x = \cancel{x} \cancel{- x} + 26000$$4 x = 26000$Multiply both sides with $\frac{1}{4}$$\cancel{4} x \times \frac{1}{\cancel{4}} = 26000 \times \frac{1}{4} = 6500$His sales in each company must be =$6500#