Calculating Discounts Mariana's Cell Phone Purchase Savings And Final Price

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Hey guys! Let's dive into a cool scenario where Mariana snagged a new phone with a sweet discount. We'll figure out how much she saved and the final price she paid. It's all about percentages and getting the best deals, something we all love, right? So, let's break down this problem step by step.

Understanding the Discount

First off, Mariana bought a phone that originally cost R$ 1,200.00. That's a decent chunk of change, but she's a smart shopper and managed to get a 15% discount. Now, what does that 15% actually mean in terms of money saved? This is where the fun begins! To calculate the discount amount, we need to figure out 15% of R$ 1,200.00. The key here is to remember that percent means "out of one hundred". So, 15% is the same as 15/100. To find 15% of R$ 1,200.00, we multiply these two numbers together. This is a fundamental concept in percentage calculations, and it's super useful in everyday situations, from shopping discounts to understanding interest rates. We can write this calculation as: (15/100) * R$ 1,200.00. If we do the math, we get R$ 180.00. So, Mariana saved R$ 180.00 thanks to the discount. That's a pretty significant saving! This saved amount highlights the importance of seeking discounts and understanding how they impact the final price. In the grand scheme of personal finance, these small savings can add up considerably over time. Now, let's move on to the next step: figuring out the final price Mariana paid for her new phone.

Calculating the Final Price

Now that we know Mariana saved R$ 180.00, we need to subtract this amount from the original price to find out how much she actually paid. The original price of the phone was R$ 1,200.00, and she got a R$ 180.00 discount. To find the final price, we simply subtract the discount from the original price. This is a straightforward calculation but crucial for understanding the true cost of any purchase after discounts. The calculation looks like this: R$ 1,200.00 - R$ 180.00. When we do the math, we get R$ 1,020.00. So, Mariana's final price for the phone, after the 15% discount, was R$ 1,020.00. This is a significant difference from the original price and showcases the power of discounts. Understanding how to calculate final prices after discounts is a vital skill for anyone looking to manage their finances effectively. It allows you to make informed purchasing decisions and ensures you're getting the best possible deal. Plus, it's just satisfying to know you've saved some money! This scenario perfectly illustrates how a percentage discount can translate into real savings and impact the overall cost of a product. By understanding these calculations, we can all become savvier shoppers.

Applying the Discount and Finding the Savings

Let's reiterate the key steps here to solidify our understanding. First, we identified the original price of the phone: R$ 1,200.00. Then, we determined the discount percentage: 15%. To calculate the discount amount, we multiplied the original price by the discount percentage (expressed as a decimal): R$ 1,200.00 * 0.15 = R$ 180.00. This R$ 180.00 represents the amount Mariana saved. This step is crucial because it directly shows the financial benefit of the discount. The act of calculating the savings helps visualize the value gained from the discount, making it easier to appreciate the deal. It's not just about the final price; it's also about recognizing how much money you've kept in your pocket. Discounts are a powerful tool for saving money, but understanding how they are calculated allows us to truly appreciate their impact. This calculation reinforces the idea that even a seemingly small percentage discount can result in a significant amount of savings, especially on higher-priced items like smartphones. This understanding encourages us to actively seek out and utilize discounts whenever possible. By mastering this skill, we empower ourselves to make more financially sound decisions and stretch our budgets further. Now, let's move on to the final calculation: the final price Mariana paid.

Final Price After Discount

To determine the final price Mariana paid for the phone, we subtracted the discount amount (R$ 180.00) from the original price (R$ 1,200.00). This calculation is straightforward but essential for understanding the actual cost of the phone after the discount is applied. The final price is the true reflection of what Mariana spent, and it's crucial to know this number for budgeting and financial planning. Subtracting the discount amount from the original price gives us a clear picture of the financial impact of the discount. This final price allows us to compare the cost of the phone to other options and assess whether it aligns with Mariana's budget. The calculation R$ 1,200.00 - R$ 180.00 = R$ 1,020.00 reveals that Mariana's final price for the phone was R$ 1,020.00. This represents a considerable saving, thanks to the 15% discount. Understanding this calculation empowers us to make informed purchasing decisions and negotiate better deals. In conclusion, knowing how to calculate discounts and final prices is a valuable skill that can save us money in various situations. It's a fundamental aspect of financial literacy and allows us to be more responsible consumers. So, the next time you see a discount, you'll know exactly how to figure out how much you're saving and the actual price you'll pay.

Conclusion

So, guys, we've successfully navigated the discount maze! We figured out that Mariana saved R$ 180.00 and the final price of the phone was R$ 1,020.00. That means the correct answer is, well, neither of the options you gave me directly matches our calculation. However, the process we used is the key takeaway here. Remember, understanding percentages and how they apply to discounts is a super useful skill in everyday life. Whether it's a phone, a new gadget, or even groceries, knowing how to calculate discounts will help you save money and make smart purchasing decisions. Keep practicing, and you'll become discount ninjas in no time!

Final Answer: Mariana economizou R$ 180,00 com o desconto, e o preço final do celular foi R$ 1.020,00.

Hopefully, this detailed explanation helps you understand the process. Keep those calculations sharp, and happy shopping!