Learn Before
Discount Applications in Percent Problems
A discount is a reduction in the original (regular) price of an item, typically expressed as a percent. Two key relationships govern discount problems:
- Amount of discount:
- Sale price:
The discount rate is a percent that must be converted to its decimal form before multiplying. For instance, if a jacket originally priced at is offered at a discount, the amount of discount is , so the sale price is . To solve discount word problems, identify which quantities are given (original price, discount rate, discount amount, or sale price), set up the appropriate equation using the relationships above, and solve for the unknown. These calculations are a direct application of the basic percent equation structure: the discount amount "is" a certain percent "of" the original price.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.3 Math Models - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Intermediate Algebra @ OpenStax
Related
Solving 'What number is 35% of 90?'
Solving '6.5% of what number is $1.17?'
Solving '144 is what percent of 96?'
Solving a Tip Calculation Using a Percent Equation
Finding the Total Recommended Daily Amount of Potassium
Finding the Percent of Calories from Fat
Procedure for Finding Percent Increase
Procedure for Finding Percent Decrease
Discount Applications in Percent Problems
Mark-up Applications in Percent Problems
A logistics coordinator is calculating a fuel surcharge for a shipping route. The coordinator uses the sentence: 'What number is 8% of $1,250?' Which equation represents the correct translation of this sentence into an algebraic equation?
A payroll specialist is translating a policy manual's instructions into mathematical equations to calculate employee benefits. Match each English word or phrase commonly found in these percent-based calculations with its correct algebraic representation.
When translating a professional sentence like 'The new hire's salary is 90% of the standard rate' into an algebraic equation, the word 'is' should be replaced with an equals sign (=).
Identifying Quantities in Payroll Percent Calculations
A human resources specialist is translating a company benefits policy: 'The employer's retirement contribution is 7% of the employee's gross monthly pay.' To represent this relationship in an algebraic equation, the word 'of' must be translated into the mathematical operation of ________.
A project manager is translating a budget requirement into a mathematical formula: 'The licensing fee is 15% of the total project cost.' Arrange the following steps in the correct order to translate this sentence into a basic algebraic equation.
Developing Professional Standards for Percent Equation Translation
Professional Standards for Translating Percent-Based Financial Sentences
A quality control inspector is translating the following professional sentence into an algebraic equation: 'The defect rate was 0.5% of the total production run.' According to the standard rules for translating percent sentences, what is the correct decimal form of 0.5% that must be written in the equation?
A warehouse supervisor is calculating total inventory levels based on a defect report. The supervisor uses the sentence: '3.5% of what number is 42?' Which of the following algebraic equations correctly translates this sentence?
Solving for the Percent of Calories from Fat in Muffins
Solving for the Percent of Calories from Fat in Brownies
Principal (Algebra)
Rate of Interest (Algebra)
Example: Solving for the Percent of Calories from Fat in Muffins
Calculating Percent Change
Solving 'What number is 45% of 84?'
Solving '8.5% of what amount is $4.76?'
Solving '168 is what percent of 112?'
Solving a Word Problem about the Recommended Daily Amount of Protein in Yogurt
Learn After
In a business procurement setting, an office manager needs to determine the specific dollar savings for an equipment order that has been marked down by a certain percentage. Which formula should the manager use to find the 'amount of discount'?
A corporate procurement office is training new staff on how to process vendor invoices and apply negotiated savings. Match each term used in business discount calculations to its correct definition.
In a professional procurement context, the formula used to identify the total dollar savings on a bulk purchase is: amount of discount = ____ × original price.
In a corporate purchasing agreement, the 'amount of discount' is calculated by multiplying the 'discount rate' by the ____.
A procurement assistant is calculating the final sale price for a bulk order of office equipment that has been marked down. Arrange the following steps in the correct order to determine the final sale price using the original price and the discount rate.
When calculating the 'amount of discount' for a vendor invoice, the procurement assistant should multiply the discount rate by the item's sale price.
Procurement Price Verification
Standardizing Procurement Calculations Memo
Standardizing Procurement Audit Procedures
In a professional procurement audit, an accounts payable clerk needs to verify the 'sale price' of a marked-down equipment order. Which of the following equations correctly represents the relationship used to determine the sale price?