Percent Increase, Decrease, and Discount
| Site: | Saylor Academy |
| Course: | RWM101: Foundations of Real World Math copy 1 |
| Book: | Percent Increase, Decrease, and Discount |
| Printed by: | Guest user |
| Date: | Wednesday, May 14, 2025, 8:06 AM |
Description
buttons.Percent Increase, Decrease, and Discount
Here are four problems for you to try. There are videos and hints if you need help.
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At a local community college the cost per unit of instruction is being raised from $20.00 to $26.00. What percent increase is this?
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A person whose salary is $53,500.00 receives a 4% payout. What is the salary decrease and what is the new salary?
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During a clearance sale, a pair of pants that originally sold for $54.95 is marked down to $32.97. What is the percent discount?
Source: Algebra2Go, https://www.saddleback.edu/faculty/Lperez/Algebra2Go/prealgebra/ratios/percentincdecdiscHW.pdf
This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 License.
Answers
(The amount of increase) = (% Increase) · (The Initial Tuition)
Note: $26.00 - $20.00 = $6.00 The amount of increase!
Therefore: \(6 = x \cdot 20\)
\(\frac{6}{20} = \frac{20x}{20}\)
\(0.3 = x\)
\(x=0.3 = 30\%\)
30% Increase.
(The amount of decrease) = (% Decrease) · (The Initial salary)
\(=(0.04) \cdot (53,500.00)\)
\(=2,140,00\) The amount of decrease!
The "New salary" = (Initial salary) - (The amount of decrease)
\(=53,500.00-2,140.00\)
\(=51,360.00\) New Salary.
(The amount of discount) = (Original price) - Discounted price)
\(=54.95 - 32.97\)
\(=21.98\) The amount of discount.
(The amount of discount) = (% Discount) · (Original price)
\(21.98 = x \cdot 54.95\)
\(\frac{21.98}{54.95} = \frac{<del>54.95</del>x}{<del>54.95</del>}\)
\(0.4 = x\)
\(40\% = x\)
So the percent discount is 40%.