Question 1

A car originally costs $25,000. During a holiday sale, the price is first reduced by 12%, and then an additional 5% discount is applied to the reduced price. What is the final sale price of the car, rounded to the nearest dollar?

Accepted Answer

$$\20$$,900.00$

Question 2

A laptop is sold for $$\540$ after a 10$$\%$ discount. What was the original price of the laptop?

Accepted Answer

$$\594$

Question 3

A company’s revenue increased from $$\120$$,000$$ to $$\$$138,000 in $$one year. What is the percentage increase in revenue?

Accepted Answer

$$15\%$$

Question 4

A store marks up the cost of a jacket by $$35\% to $$set its selling price. If the cost price is $$\80$, what is the selling price?

Accepted Answer

$$\108$

Question 5

A machine depreciates in value by $$8\%$$ each year. If its current value is $$\4$$,600$, what was its value one year ago?

Accepted Answer

$$\4$$,968$

Question 6

A business owner buys 150 items at $$\12$ each and sells all of them for a total of $$\$$2,250. $$What is the percentage profit?

Accepted Answer

$$20\%$$

Question 7

A phone’s price is increased by $$5\% in $$January and then decreased by $$5\% in $$February. If the original price was $$\400$, what is the price after both changes?

Accepted Answer

$$\399.00$

Question 8

A rare book was bought for $$\1$$,200$$ and sold for $$\$$1,050. $$What is the percentage loss?

Accepted Answer

$$10\%$$

Question 9

A company’s product price is first increased by $$20\%$$ and then decreased by $$10\%. $$What is the overall percentage change?

Accepted Answer

$$8\%$$ increase

Question 10

A bicycle is sold for $$\360$ after a 25$$\%$ reduction. What was the original price?

Accepted Answer

$$\450$

Question 11

A retailer buys a batch of goods for $$\2$$,400$$ and sells them for $$\$$2,760. $$What is the percentage profit?

Accepted Answer

$$12\%$$

Question 12

A population of bacteria increases by $$30\%$$ every hour. If there are $$2,000$$ bacteria now, how many will there be after two hours?

Accepted Answer

$$3,380$$

Question 13

A student’s test score increased from $$68 to$$ $$85. $$What is the percentage increase?

Accepted Answer

$$25.0\%$$

Question 14

A store offers a $$15\%$$ discount on all items. If a customer pays $$\255$ after the discount, what was the original price?

Accepted Answer

$$\300$

Question 15

A company’s expenses decreased from $$\5$$,000$$ to $$\$$4,250. $$What is the percentage decrease?

Accepted Answer

$$15\%$$

Question 16

A medicine’s price is increased by $$8\%$$ and then by another $$12\%. $$What is the overall percentage increase?

Accepted Answer

$$20.96\%$$

Question 17

A computer is sold for $$\1$$,350$$ after a 10$$\%$ decrease from its original price. What was the original price?

Accepted Answer

$$\1$$,500$

Question 18

A business owner’s profit increased from $$\2$$,000$$ to $$\$$2,600 in $$one year. What is the percentage increase in profit?

Accepted Answer

$$30\%$$

Question 19

A pair of shoes is sold for $$\84$ after a 30$$\%$ discount. What was the original price?

Accepted Answer

$$\120$

Question 20

A company’s product price is first decreased by $$20\%$$ and then increased by $$20\%. $$What is the overall percentage change?

Accepted Answer

$$4\%$$ decrease

Intermediate Algebra: Using Percentages – Increases, Decreases, Profit, and Loss

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