Question #09159

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Question #09159

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Answer 1 · 2016-11-04T05:33:06

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

Explanation:

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

First Company

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

Second company

His salary is $= $ 260$ $=$260$
His Commission is $= 1 %$ $=1%$
His absolute commission is $= x \times \frac{1}{100} = \frac{x}{100}$ $=x xx 1/100=x/100$
His total earnings from company 2 is $= 260 + \frac{x}{100}$ $=260+x/100$

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

$\frac{5 x}{100} = \frac{x}{100} + 260$ $(5x)/100=x/100+260$

Solve for $x$ $x$

Multiply both sides with $100$ $100$

$(\frac{5 x}{100}) \times 100 = (\frac{x}{100} + 260) \times 100$ $((5x)/100)xx100=(x/100+260) xx100$
$(5x)/cancel(100)xx cancel(100)=(x/cancel(100)xxcancel(100))+(260xx100)$
$5x=x+26000$

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 $=$6500$

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Question #09159

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