Marked Price
Businesses usually increase the price of their items above the cost price. This creates a list price that allows them to offer discounts while protecting their profit margins.
Fundamental Principles
Marked Price (MP)
The public price printed on a product tag or catalog, also known as the list price or retail price.
Markup
The amount by which the cost price is increased to set the public selling tag (MP - CP).
Essential Formulation Tips
- Markup percentage is calculated using the Cost Price as a base, while discount percentage is calculated using the Marked Price.
- The core link between these values is: CP * (100 + Profit %) = MP * (100 - Discount %).
Shortcut Execution Techniques
- Use the direct markup-to-discount ratio formula: MP / CP = (100 + Profit %) / (100 - Discount %). This helps you skip multi-step equations.
Contextual Inquiries (FAQs)
Q: What is the difference between markup and profit?
A: Markup is the price increase added before a sale, while profit is the actual financial gain earned after any discounts are taken off.
Example Breakdown: Finding the Required Marked Price
Demonstrates efficient multi-factor price planning.Use the ratio formula: MP / CP = (100 + Profit %) / (100 - Discount %).
Substitute the known values: MP / 400 = (100 + 20) / (100 - 10).
Simplify the fraction: MP / 400 = 120 / 90 = 4 / 3.
Solve for MP: MP = 400 * (4 / 3) = $533.33.
Marked Price and Markup Ratios
Practice connecting cost bases, public markups, and target net profits.
Q1. An item with a Cost Price of $200 is marked up by 40%. What is its official Marked Price?