Question

2.29. Departments X, Y, and Z had sales of $1,100, $1.900, and $2,500, respec-tively. A $700 advertising charge was allocated proportionately. How muchis Department X's share of the advertising charge?a. $140 b. $350 c. $110 d. $116.6730. Refer to problem 29. How much would Department Z's expense be if theadvertising charge was increased to $1,500?a. $750b. $681.82 c. $654.37 d. $690

Answer 1

29.Find the ratio of sales of X, Y and Z.

$1100\colon1900\colon2500=11\colon19\colon25$

Let the common multiple be x.

So it follows:

$\begin{gathered} 11x+19x+25x=700 \\ 55x=700 \\ x=\frac{140}{11} \end{gathered}$

Therefore X has to pay 11x=$140.

Option A is correct.

30.If the charge is increased to $1500 then it follows:

$\begin{gathered} 55x=1500 \\ x=\frac{300}{11} \end{gathered}$

So department Z has to pay 25x=$681.82

Option B is correct.