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A cell phone costs R550,00 after a discount of \( 50 \% \). What was the original price of the cell phone?

Ask by Ray Carrillo. in South Africa
Jan 26,2025

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Answer

The original price of the cell phone was R1 100,00.

Solution

To determine the original price of the cell phone before the discount, let's follow these steps: 1. **Understand the Discount:** - A **50% discount** means you pay **half** of the original price. 2. **Set Up the Equation:** - Let **\( P \)** be the original price. - After a 50% discount, the price becomes **\( 0.5 \times P \)**. - According to the problem, this discounted price is **R550,00**. So, the equation is: \[ 0.5 \times P = 550 \] 3. **Solve for \( P \):** \[ P = \frac{550}{0.5} = 1100 \] 4. **Conclusion:** - The **original price** of the cell phone was **R1 100,00**. **Answer:** The original price of the cell phone was R 1 100,00.

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Beyond the Answer

To find the original price of the cell phone, you can work backwards from the discounted price. If R550,00 is the price after a 50% discount, this means that R550,00 represents 50% of the original price. To find the original price, you can multiply R550,00 by 2. So, the original price of the cell phone was R1,100.00! Now, imagine treating shopping like a treasure hunt. Tracking discounts can feel like finding hidden gems. Knowing the original prices can help you spot a great deal when you see one! Happy hunting! Understanding discounts isn’t only practical for shopping; it can also help you make informed decisions in budgeting. For instance, if you’re considering multiple items, knowing to calculate their discounted prices can help you stretch your budget further! Always keep an eye out for clearance sales—they're like bonuses to your budget!

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