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Algebra 1 : Monetary Percentage

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Example Questions

Example Question #9 : How To Find Amount Of Profit

$\\ \noindent \textup{One product is sold at twice its cost.}\\\textup{If you must sell 1,000 units to make a profit of \$5,000, what is the unit cost?}$

Possible Answers:

$\textup{None of the above.}$

$\$5$

$\$2.50$

$\$10$

$\$1$

Correct answer:

$\$5$

Explanation:

$\\ \textup{Call \textit{c} the unit cost, then \textit{c} is also the unit profit, since 2\textit{c} is the unit price.}\\\textup{If 1,000 units are sold, 1,000\textit{c} profit is made, which we know equals \$5,000.}\\\textup{Solving the equation } 1000c=5000 \textup{ gives the desired solution } c=\$5.$

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Example Question #6 : How To Find Amount Of Profit

Jimmy's Pizza and Pasta agreed to do a fundraising event at their restaurant with the local high school. $15\%$ of all proceeds will be donated to help buy new textbooks. The fundraising event generated an income of $\$3,250.00$ . How much money was raised for new textbooks?

Possible Answers:

$\$450.00$

$\$487.50$

$\$515.25$

$\$392.50$

$\$415.75$

Correct answer:

$\$487.50$

Explanation:

$15\%$ of the total proceeds can be calculated as such:

$\frac{15\%}{100\%}\cdot\$3250.00=\$487.50$

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Example Question #11 : How To Find Amount Of Profit

Joseph owns a local pizzeria, and $65\%$ of the restaurant's income goes to operating cost (paying employees, buying ingredients, etc.). If Joseph's pizzeria makes $\$8,370.00$ this month, how much does Joseph take home in profit?

Possible Answers:

$\$3,225.00$

$\$4,377.25$

$\$2,850.50$

$\$5,440.50$

$\$2,929.50$

Correct answer:

$\$2,929.50$

Explanation:

If $65\%$ of total income goes to overhead and expenses, that leaves $35\%$ of $\$8,370.00$ in total profit:

$\frac{35\%}{100\%}\cdot\$8,370.00=\$2929.50$

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Example Question #12 : How To Find Amount Of Profit

Tommy makes $\$0.55$ profit for every $\$1.00$ in sales at his music store. If on friday the music store made $\$782.35$ in sales, what would be the total profit?

Possible Answers:

$\$677.39$

$\$430.29$

$\$517.09$

$\$415.89$

$\$399.99$

Correct answer:

$\$430.29$

Explanation:

If $\$0.55$ of every $\$1.00$ in sales is profit, then the profit can be calculated as $55\%$ of total sales:

$\frac{55\%}{100\%}\cdot\$782.35=\$430.29$

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Example Question #11 : How To Find Amount Of Profit

Jake decided to purchase a large pizza for $\$12.99$ . Deciding that he really doesn't want to eat pizza he chose to sell individual slices to his friends. If the pizza has 8 slices and each one was sold for $\$2.00$ , what is Jake's profit?

Possible Answers:

$\$10.99$

$\$3.01$

$\$16.00$

$\$28.99$

Correct answer:

$\$3.01$

Explanation:

The amount of profit is the money that was made in addition to the amount returned. If Jake had gotten $\$12.99$ back he would have not made any profit since that is what he paid for the pizza. When he sold his pizza he ended up with $\$16.00$ but he did not make $\$16.00$ in profit because he spent $\$12.99$ originally. His profit is calculated by

profit = total money made - total money spent

For Jake this is

$8\times \$2.00-\$12.99=\$16.00-\$12.99=\$3.01$

It is possible to have a negative profit meaning Jake would have lost money. If he sold each piece for $\$1.00$ then his profit would be

$8\times \$1.00-\$12.99=\$8.00-\$12.99=-\$4.99$

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Example Question #14 : How To Find Amount Of Profit

Oscar normally takes $40\%$ of the total sales at his phone store as profit. Unfortunately, some unexpected bills came up that needed to be paid, leaving Oscar with a remaining $\$523.25$ in profit for the month. If the store had $\$14,500$ in total sales for the month, what percent of the profits were used to pay the unexpected bills?

Possible Answers:

$91\%$

$73\%$

$85\%$

$44\%$

$56\%$

Correct answer:

$91\%$

Explanation:

The first step is to find the total amount of profit for the month prior the added expenses. At $40\%$ of total sales, this value can be calculated as such:

$\$14,500\cdot\frac{40\%}{100\%}=\$5,800.00$

Now that we have total profit for the month, we can divide the total profit minus the remaining profit by the original total profit to determine what percent was spent paying bills:

$\frac{\$5,800.00-\$523.25}{\$5,800.00}=\frac{\$5,276.75}{\$5,800.00}=0.91$

$0.91\cdot100\%=91\%$

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Example Question #121 : Monetary Percentage

Jimmy runs his own small packing and shipping firm. His business plan appropriates $\$5,500.00/month$ in employee wages and this month the property lease consumed $20\%$ of net income and cost of product accounted for $33\%$ of net income spent. This month, Jimmy's company had a net income of $\$25,782.50$ . After overhead and employee wages, how much will Jimmy collect as profit for the month?

Possible Answers:

$\$8,164.72$

$\$6,617.78$

$\$7,286.73$

$\$8,395.37$

$\$8,907.15$

Correct answer:

$\$8,164.72$

Explanation:

If the combined employee wages total $\$5,500.00/month$ , $20\%$ of total income goes to rental space and $33\%$ goes to cost of product, we can calculate profit as such:

$Total\:Profit=\$25,782.50-\$25,782.50\cdot(\frac{100\%-33\%-20\%}{100\%})-\$5,500.00$ $Total\:Profit=\$25,782.50-\$25,782.50\cdot(\frac{47\%}{100\%})-\$5,500.00$

$Total\:Profit=\$25,782.50-\$12,117.78-\$5,500.00=\$8,164.72$

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Example Question #2781 : Algebra 1

Billy buys fifteen stocks of a company for five dollars each. He sells all the stocks at eight dollars each. How much is his profit?

Possible Answers:

$\$3$

$\$18$

$\$45$

$\$75$

$\$30$

Correct answer:

$\$45$

Explanation:

Billy's profit comes from the earnings of all stocks minus the amount that he initially invested.

Find out how much Billy has spent on the fifteen stocks. Multiply the cost of the stock by the amount he has bought.

$\$5 \cdot 15 = \$75$

He spent seventy five dollars on the stocks.

Find out the total amount he has sold all the stocks for. Multiply the new price of the stocks by the amount he has sold.

$\$8 \cdot 15 = \$120$

Billy's profit is the difference of the earnings minus the initial price of all the stocks. Subtract the two prices.

$\$120-\$75 =\$45$

Billy's profit is $\$45$ .

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Example Question #12 : How To Find Amount Of Profit

The retail price of gold is $\$150$ . Suppose Billy bought twenty gold coins at wholesale price for $\$100$ each. How many gold coins can Billy buy at retail price from his profit if he chose to sell all twenty coins at $\$130$ each?

Possible Answers:

Correct answer:

Explanation:

Determine how much Billy has spent on all twenty gold coins. Since he bought 20 gold coins at wholesale price, multiply 20 by the price of gold at $100.

$\$100 \times 20 = \$2000$

Billy has spent $\$2000$ on gold coins at wholesale price.

Determine his profit after he sells all gold coins at $\$130$ each.

$\$130 \times 20 = \$2600$

This amount is his revenue after selling all his 20 coins.

Profit is the total revenue minus the cost Billy has spent.

$P=\$2600 - \$2000 = \$600$

After subtracting the initial cost, Billy has $600 profit from selling all his 20 gold coins at $130 each.

Divide the profit with the retail cost of the gold coins to determine how many gold coins he can buy at retail price with his profit.

$\frac{\$600}{\$150} = 4$

Billy can only buy gold coins at retail price as a result of his profit.

The answer is:

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Algebra 1 : Monetary Percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #9 : How To Find Amount Of Profit

Example Question #6 : How To Find Amount Of Profit

Example Question #11 : How To Find Amount Of Profit

Example Question #12 : How To Find Amount Of Profit

Example Question #11 : How To Find Amount Of Profit

Example Question #14 : How To Find Amount Of Profit

Example Question #121 : Monetary Percentage

Example Question #2781 : Algebra 1

Example Question #12 : How To Find Amount Of Profit

All Algebra 1 Resources

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