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Back to 6.3 Solve Sales Tax, Commission, and Discount Applications

6.3 Exercise 75

Avg difficulty 2.5

Priam bought a jacket that was on sale for 40%\text{40}\% off. The original price of the jacket was $150.\$\text{150} . While the sales clerk figured the price by calculating the amount of discount and then subtracting that amount from $150,\$\text{150} , Priam found the price faster by calculating 60%\text{60}\% of $150.\$\text{150} .

  1. ⓐ Explain why Priam was correct.
  2. ⓑ Will Priam's method work for any original price?

OpenStax Prealgebra 2e, 6.3 Solve Sales Tax, Commission, and Discount Applications, exercise 75

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Adapted from Prealgebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Prealgebra 2e. Imported at revision 77a933c.