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Percent Increase, Decrease, and Discount

Site: Saylor Academy
Course: RWM101: Foundations of Real World Math
Book: Percent Increase, Decrease, and Discount
Printed by: Guest user
Date: Sunday, May 19, 2024, 10:41 PM

Description

Complete this assessment to practice calculating percent increases, decreases, and discounts. Be sure to check your answers.

Table of contents

Percent Increase, Decrease, and Discount

  1. 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?
  2. A person whose salary is $53,500.00 receives a 4% payout. What is the salary decrease and what is the new salary?
  3. 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
Creative Commons License This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 License.

Answers

  1. (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.

  2. (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.

  3. (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{54.95x}{54.95}
    0.4 = x
    40\% = x
    So the percent discount is 40%.