# ACT Math : Percentage

## Example Questions

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### 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 #12 : How To Find Amount Of Profit

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 #13 : How To Find Amount Of Profit

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 #11 : How To Find Amount Of Profit

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