When 20% was taken off from the price of an item, K480 was left. Find the original price of the item.
Answer (2)
The original price of the item is K2400, found by solving the equation where 20% off left K480. This involves dividing K480 by 0.20, resulting in the original price. Thus, K2400 was the starting price before the discount.
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Define the original price as P .
Express the given information as an equation: 0.20 P = 480 .
Solve for P by dividing both sides by 0.20: P = 0.20 480 .
Calculate the original price: P = 2400 . The original price of the item is K 2400 .
Explanation
Understanding the Problem Let's analyze the problem. We know that when 20% was taken off the original price of an item, the amount removed was K480. Our goal is to find the original price of the item.
Setting up the Equation Let the original price of the item be represented by P . We are given that 20% of the original price is equal to K480. We can express this as an equation: 0.20 P = 480
Solving for the Original Price To solve for P , we need to divide both sides of the equation by 0.20: P = 0.20 480
Calculating the Original Price Now, let's calculate the value of P :
P = 0.20 480 = 2400 So, the original price of the item was K2400.
Final Answer Therefore, the original price of the item is K2400.
Examples
Imagine you're at a store where everything is 20% off, and you see a sign that says 'You save K480 on this item!' This problem helps you figure out the original price of the item before the discount. Understanding percentages and discounts is useful in many real-life situations, such as calculating sale prices, understanding taxes, or determining tips at a restaurant. By knowing how to calculate the original price, you can better assess whether a deal is truly beneficial.
