Problem Set

Solve the following problems. Use a percent table to organize percent problems, and pick 100 when dealing with unspecified amounts.

    1. x% of y is 10. y% of 120 is 48. What is x?

    2. A stereo was marked down by 30% and sold for $84. What was the presale price of the stereo?

    3. From 1980 to 1990, the population of Mitannia increased by 6%. From 1990 to 2000, it decreased by 3%. What was the overall percentage change in the population of Mitannia from 1980 to 2000?

    4. If y is decreased by 20% and then increased by 60%, what is the new number, expressed in terms of y?

    5. A 7% car loan, which is compounded annually, has an interest payment of $210 after the first year. What is the principal on the loan?

    6. A bowl was half full of water. Next, 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?

    7. A large tub is filled with 920 liters of water and 1,800 liters of alcohol. If 40% of the alcohol evaporates, what percent of the remaining liquid is water?

    8. x is 40% of y and 50% of y is 40. Thus, 16 is what percent of x?

    9. What number is yielded when 800 is increased by 50% and then decreased by 30%?

    10. If 1,600 is increased by 20%, and then reduced by y%, yielding 1,536, what is y?

    11. Lori deposits $100 in a savings account at 2% interest, compounded annually. After three years, what is the balance on the account? (Assume Lori makes no withdrawals or deposits.)

    12. Steve uses a certain copy machine that reduces an image by 13%.

      Quantity A Quantity B
      The percent of the original if Steve reduces the image by another 13% 75%
    13. y is 50% of x% of x.

      Quantity A Quantity B
      y x
    14. Quantity A Quantity B
      10% of 643.38 20% of 321.69