When $20 \%$ was taken off from the price of an item, K 480 was left.
Find the original price of the item.
Answer (1)
Let the original price be x .
After a 20% discount, the remaining price is 80% of the original price: 0.8 x = 480 .
Solve for x : x = 0.8 480 .
The original price of the item is K 600 .
Explanation
Understanding the Problem Let's analyze the problem. We know that after a 20% discount, the price of an item is K 480. We need to find the original price before the discount.
Setting up the Equation Let the original price be x . After a 20% discount, the remaining price is 80% of the original price. So, we can write the equation: 0.8 x = 480
Solving for x Now, we solve for x by dividing both sides of the equation by 0.8: x = 0.8 480
Finding the Original Price Calculating the value of x : x = 600 So, the original price of the item was K 600.
Examples
Imagine you are buying a new bicycle. The store offers a 20% discount, and the discounted price is K 480. You want to know the original price of the bicycle to see how much you saved. This problem helps you calculate the original price by understanding percentages and discounts. Knowing the original price allows you to make informed decisions about your purchase and appreciate the savings.
