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Welcome to the guide on Percentages

Please note this topic is a big differentiator in getting a high score

There are no prerequisites for this lesson. Some of this information may seem repetitive, so do not feel obligated to spend too much time if you feel comfortable with the material. 

First, let’s understand what a percentage is. Visit any of these links to better understand the fundamentals:

  • How to solve a percentage problem (this is a very general and basic guide to percentage problems and how to solve them. Use this to get the basics) 

  • Advanced concepts (This is a much more advanced review. Thorough reading of this should have you set for the following problems)

If you’re here, you should now have a good understanding of the above concepts. If not, or if you have any questions, don’t be afraid to go back and review! However, if you want to practice and warm up, use some of the links below:

Finally, if you think you’re ready, test your skills using the problem below:

1. Given that 6 percent of (a + b) = 12 percent of b, which of the following must be true?​​

2. The cost of a tablet increased 25 percent from 2014 to 2015. In 2016, the cost of the tablet was 1/4 less than its 2014 cost. By what percentage did the cost of the tablet decrease from 2015 to 2016?

3. The value of your investment in the winning team of the fantasy Soccer League increased from $1,500 to $1,800 over several years. What was the percentage increase of the investment over this time?

4. At the end of the season, the New York Yankees won 60 percent of their games. If the Yankees had lost 30 times and never tied, how many games had the team played?

5.Two students took a test. One of them earned 9 marks more than the other and scored 5% better. How many points was the test 

6. If A = x% of y and B = y% of x, then which of the following is true?


Click here to view the answers.

Congrats on reaching the end of this lesson. If you did not understand any concept be sure to go back through and review, so that you can be fully prepared. We learn the most from our mistakes so don’t be disheartened by them. When you feel that you are ready, go ahead and take a little break. Then come back and move onto another section!

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