# ACT Math : How to find amount of profit

## Example Questions

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### Example Question #241 : Arithmetic

A bakery sells cupcakes for  per dozen. If it costs  to make each dozen, how much profit would the bakery earn from selling  dozen cupcakes?

Explanation:

The profit that is made is the difference between the amount earned and the amount spent. In this instance, it costs  to make a dozen cupcakes, but the bakery charges  per dozen.

To find the profit for one dozen cupcakes:

To find the profit for ten dozen cupcakes:

### Example Question #152 : Percentage

It costs a retail store  to purchase a bow tie. If this store sells the bow tie for , what is its profit percentage? Round to the nearest hundredth.

Explanation:

The profit percentage is really just a matter of percent change. We are changing from  to . This is easily computed as:

This is the same as !

### Example Question #153 : Percentage

A set of cards were purchased for . If the store earned  profit on the sale, what was the original price of the cards? Round to the nearest hundredth.

Explanation:

This question is really asking a hidden percentage change question. It really means, "The price changed from  to , signalling a  change." Thus, you can set up an equation like this:

Solving for , you get:

### Example Question #151 : Percentage

The profit on a particular product per unit is measured as a percentage of the cost to produce that unit. If  units are produced at a total cost of , and sell for a total of , what was the profit per unit, as a percentage?

Explanation:

Remember, percentage profit is a ratio between two numbers. The ratio stays the same whether the numbers reflect hundreds of units sold or just one unit (unless otherwise told). So to find our answer, we only need to calculate the overall profit percentage.

### Example Question #161 : Percentage

In business, profit is defined as revenue minus expenses. A profit is often expressed as a percentage of total revenue.

A company posts a  profit for the first quarter of the new year, pleasing investors. If the total profits for the quarter were  what were the expenses for the company in that quarter? Round to the nearest dollar.

Explanation:

If a profit of  represents , then we can calculate revenue as:

Now, subtract the profit from the total revenue to calculate expenses:

Thus, the quarterly expenses were .

### Example Question #251 : Arithmetic

Manufacturing a particular product produces a profit of  for each unit produced. If the cost to produce a unit is , what is the profit percentage on each unit? Do not round until the final answer.

Explanation:

Calculating a percentage profit is the same as calculating a percent change. To find percent change, subtract the "old" amount from the "new" amount, then divide the result by the "old" amount. The result is a percent increase if positive and a percent decrease if negative.

### Example Question #251 : Arithmetic

A particular product is sold for  per unit. If the cost to produce a unit is , what is the profit percentage on each unit? Do not round until your the answer.

Explanation:

Calculating a percentage profit is the same as calculating a percent change. To find percent change, subtract the "old" amount from the "new" amount, then divide the result by the "old" amount. The result is a percent increase if positive and a percent decrease if negative.

### Example Question #251 : Arithmetic

A cassette tape sells for , and the producer receives a cut of  of each sale. If the producer spends  of the sale price in manufacturing and producing expenses, how much money is made on the sale of each tape?

Explanation:

Calculating a percentage profit is the same as calculating a percent change. To find percent change, subtract the "old" amount from the "new" amount, then divide the result by the "old" amount. The result is a percent increase if positive and a percent decrease if negative.

### Example Question #165 : Percentage

A product sells for  dollars, and costs  dollars to produce. What is the profit on each sale, as a percentage?