If the discount price is K850.00 when a 15% discount was given, find the marked price.
Answer (1)
Let M be the marked price.
Express the discount price as M − 0.15 M = 850 .
Simplify the equation to 0.85 M = 850 .
Solve for M : M = 0.85 850 = 1000 . The marked price is K 1000.00 .
Explanation
Understanding the Problem Let M be the marked price. We are given that a 15% discount on the marked price results in a discount price of K850.00. This means that the discount is 0.15 M , and the discount price is the marked price minus the discount.
Setting up the Equation We can write the equation: M − 0.15 M = 850
Simplifying the Equation Simplifying the equation, we get: 0.85 M = 850
Solving for M To solve for M , we divide both sides of the equation by 0.85: M = 0.85 850 = 1000
Final Answer Therefore, the marked price is K1000.00.
Examples
Understanding discounts is crucial in everyday shopping. For example, if you want to buy a TV and you know the original price and the discount percentage, you can calculate the selling price. This helps you to compare prices and make informed decisions, ensuring you get the best deal possible. Knowing how to calculate the original price when given a discount can also help you determine if a sale is truly beneficial.
