Percent Increase and Decrease

Andymath.com features free videos, notes, and practice problems with answers! Printable pages make math easy. Are you ready to be a mathmagician?

Percent Increase/Decrease Formula


Percent Increase/Decrease Formula Alternate Form

Questions

\(\textbf{1)}\) Jessica collects rocks. She started the week with 20 rocks. Later in the week she traded 3 of her rocks to Steve for 12 of his rocks. She then sold 5 to her brother. After all of this, what is the percent of increase in Jessica’s rock collection? Link to Youtube Video Solving Question Number 1


\(\textbf{2)}\) One day, a stock increases in value by 25%. The next day it decreases by 25%. By what percent did the value of the stock change after both days?


\(\textbf{3)}\) Harry wanted to buy a book that cost $20 last week. This week he came back and it cost $25. What was the percent change (magnitude and direction) in the price of the book? Show your work.


\(\textbf{4)}\) Harry waited on the $25 book. It was just too expensive for him. But after Christmas, he saw that it was on sale for $20. What was the percent change (magnitude and direction) in the price of the book? Show your work.


\(\textbf{5)}\) You should have gotten different percent rates for questions 3 and 4 even though the amount of change in dollars is the same. Explain why the percent rates are different.


\(\textbf{6)}\) The price of an hour of babysitting was $7.50 in 2000. In 2010, the price was $15. What was the percent change (magnitude and direction) in the price of the babysitting? Show your work.


\(\textbf{7)}\) A compass decreased in price from $40 to $10 in the last 5 years. What was the percent change (magnitude and direction) in the price of the compass? Show your work.


\(\textbf{8)}\) Sam has $100 in a stock. On Tuesday, the stock decreases 25% from the day before. Sam is unhappy with this. On Wednesday the stock increases 25% from the day before.Sam is happy again. Did Sam get all his money back?
Link to Youtube Video Solving Question Number 8



See Related Pages\(\)

\(\bullet\text{ Converting Percents to Decimals}\)
\(\,\,\,\,\,\,\,\,\)
\(\bullet\text{ Converting Percents, Decimals and Fractions}\)
\(\,\,\,\,\,\,\,\,\)
\(\bullet\text{ Percent Problems}\)
\(\,\,\,\,\,\,\,\,\)
\(\bullet\text{ Percent Word Problems}\)
\(\,\,\,\,\,\,\,\,\)


About Andymath.com

Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at tutoring@andymath.com. He will promptly add the content.

Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.

Visit me on Youtube, Tiktok, Instagram and Facebook. Andymath content has a unique approach to presenting mathematics. The clear explanations, strong visuals mixed with dry humor regularly get millions of views. We are open to collaborations of all types, please contact Andy at tutoring@andymath.com for all enquiries. To offer financial support, visit my Patreon page. Let’s help students understand the math way of thinking!

Thank you for visiting. How exciting!