Question

How much profit was generated by the sales of gold label and black label combined?

Answer 1

The profit genereted  by the sales of gold label and black label combined is the sum of the profits generated by the sales of gold label and of the profits generated by the sales of black label.

1. From the table

$\begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Gold label}&1,000&\ 2.75\end{array}$

you can find the profits generated by the sales of gold label:

$1,000\cdot \ 2.75=\ 2,750.$

2. From the table

$\begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Black label}&2,000&\ 1.50\end{array}$

you can find the profits generated by the sales of black label:

$2,000\cdot \ 1.50=\ 3,000.$

In total

$\ 2,750+\ 3,000=\ 5,750.$

Answer: correct option 5

Answer 2

The combined profit earned by the sales of the gold label and black sale is $\boxed{{\mathbf{\ 5750}}}$ .

Further explanation:

Given:

From the given table the data for gold label and black label is shown.

Step by step explanation:

Step 1:

The profit earned by gold label can be calculated as,

   ${\text{profit earned by gold label}}={\text{ number of bottles sold }}\times{\text{ average profit}}$

It is given that 1000 bottles of black label has been sold whose average profit is $\ 2.75$  per bottle.

Now calculate the profit earned by gold label bottles as,

$\begin{aligned}{\text{profit earned by gold label}}&={\text{ 1000 }}\times{\text{ \ 2}}{\text{.75}}\\&={\text{\ 2750}}\\\end{aligned}$

Step 2:

The profit earned by black label can be calculated as,

   ${\text{profit earned by black label}}={\text{ number of bottles sold }}\times{\text{ average profit}}$

It is given that 2000 bottles of black label has been sold whose average profit is $\ 1.50$  per bottle.

Now calculate the profit earned by black label bottles as,

$\begin{aligned}{\text{profit earned by black label}}&={\text{2000}}\times{\text{\ 1}}{\text{.50}}\\&={\text{\ 3000}}\\\end{aligned}$

Step 3:

Now find the combined profit earned by the sales of the gold label and black sale as,

$\begin{aligned}{\text{combined profit}}&={\text{profit earned by black label}}+{\text{profit earned by gold label}}\\&=\ 3000+\ 2750\\&=\ 5750\\\end{aligned}$

Therefore, the combined profit earned by the sales of the gold label and black sale is $\ 5750$ .

Thus, fifth option is correct that is $\boxed{{\mathbf{\ 5750}}}$ .

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Profit and loss

Keywords: profit, black label, gold label, sales, combined, sum, average profit, number of bottles sold, bottle, product range, average price, average tax, profit generated