Calculate Discount How Much Mariana Saved On Her Cell Phone Purchase

by Rajiv Sharma 69 views

Hey guys! Let's dive into a super practical scenario today. Imagine your friend Mariana just snagged a new cell phone, and guess what? She got a sweet discount! The phone originally cost R$ 1,200.00, but she managed to get 15% off. Now, the big question is: How much money did she actually save? We're going to break down the calculation step-by-step, so you can totally use this in your own shopping adventures. We’ll explore the simple formula for calculating discounts and see how Mariana made a smart move with her purchase. Discounts are awesome, right? They help us save money and make our budgets stretch further. So, stick around as we crunch the numbers and figure out exactly how much Mariana pocketed thanks to that 15% discount. This is going to be both fun and super useful!

Understanding Discounts

When it comes to smart shopping, understanding discounts is absolutely key. Discounts are basically reductions in the original price of an item, and they're usually given as a percentage. For example, a 15% discount means that the price is reduced by 15% of its original value. This is a fantastic way to save money, whether you're buying groceries, clothes, or even a new gadget like Mariana's cell phone. The beauty of discounts lies in their ability to make products more affordable, allowing you to get more for your money. Think of it this way: that extra cash you save can go towards something else you've been eyeing, or maybe even a future purchase. Businesses offer discounts for all sorts of reasons. Sometimes it’s to clear out old inventory, attract new customers, or reward loyal shoppers. Whatever the reason, it's a win-win situation when you, as a consumer, can take advantage of these offers. Knowing how to calculate discounts yourself ensures that you're always getting the best deal possible. No more guessing games or relying solely on the advertised price – you can confidently determine the actual savings and make informed decisions. So, let's get into the nitty-gritty of calculating discounts, so you can become a discount-savvy shopper just like Mariana!

The Discount Formula

Okay, let's talk about the magic formula that unlocks the mystery of discounts! The formula to calculate a discount is super straightforward: Discount = Original Price x (Discount Percentage / 100). Seriously, that’s it! Let's break it down a bit. The "Original Price" is simply the initial cost of the item before any discount is applied. Think of it as the sticker price you see on the shelf. The "Discount Percentage" is the percentage of the price that's being taken off. It's usually given as a number followed by a percent sign (like 15% in Mariana's case). Now, the "/ 100" part is crucial because we need to convert the percentage into a decimal. Percentages are just fractions out of 100, so dividing by 100 gives us the decimal equivalent. For instance, 15% becomes 0.15 when you divide it by 100. Once you have these values, you just plug them into the formula and do the multiplication. The result you get is the actual amount of money you're saving with the discount. This formula is your best friend when you’re shopping and want to quickly figure out how much you’ll save. It’s also a great way to double-check that the discount being offered is accurate. So, keep this formula in your back pocket – it’s a money-saving superpower!

Applying the Formula to Mariana's Purchase

Alright, guys, let's put this formula to work and see how much Mariana saved on her new cell phone! Remember, the phone's original price was R$ 1,200.00, and she scored a 15% discount. So, we have all the pieces we need to calculate her savings. First, let's identify our values: The Original Price is R$ 1,200.00, and the Discount Percentage is 15%. Now, we'll use our trusty formula: Discount = Original Price x (Discount Percentage / 100). Let’s plug in the numbers: Discount = R$ 1,200.00 x (15 / 100). Next, we need to convert that percentage into a decimal. So, 15 / 100 = 0.15. Now our equation looks like this: Discount = R$ 1,200.00 x 0.15. Time for the multiplication! When you multiply 1,200 by 0.15, you get 180. So, Discount = R$ 180.00. This means Mariana saved R$ 180.00 on her cell phone purchase! Isn't that awesome? By applying the formula, we were able to quickly and easily determine her savings. This shows how useful and practical the discount formula can be in real-life shopping scenarios. Now you know exactly how to calculate discounts, just like we did for Mariana. You're one step closer to becoming a super savvy shopper!

Calculating Mariana's Savings

Let's recap and solidify how we calculated Mariana's savings. We started with the original price of the cell phone, which was R$ 1,200.00. Then, we knew she got a 15% discount. The key was to use the formula: Discount = Original Price x (Discount Percentage / 100). We plugged in the values: R$ 1,200.00 for the original price and 15 for the discount percentage. The next step was to convert the percentage to a decimal by dividing 15 by 100, which gave us 0.15. Then, we multiplied the original price (R$ 1,200.00) by the decimal (0.15). The result of this multiplication was R$ 180.00. This is the amount Mariana saved thanks to the discount. To make sure we're crystal clear, let's break it down again: Original Price: R$ 1,200.00. Discount Percentage: 15%. Decimal Equivalent: 0.15. Calculation: R$ 1,200.00 x 0.15 = R$ 180.00. Final Savings: R$ 180.00. So, Mariana saved a total of R$ 180.00 on her new cell phone. This is a significant amount of money, and it shows how valuable discounts can be. By understanding and using this simple formula, you can confidently calculate your own savings and make sure you're getting the best deals possible. Great job, Mariana, on being a smart shopper!

Conclusion

So, guys, we've successfully figured out how much Mariana saved on her new cell phone! By applying the discount formula, we determined that she saved a sweet R$ 180.00. This is a fantastic example of how understanding basic math can help you make smarter financial decisions every day. Discounts are a powerful tool for saving money, and knowing how to calculate them ensures you're always getting the best possible deal. Whether you're shopping for clothes, electronics, or anything else, the same formula applies: Discount = Original Price x (Discount Percentage / 100). Remember, the key is to convert the percentage to a decimal by dividing it by 100 before multiplying. We've walked through the steps, broken down the formula, and applied it to a real-life scenario. Now, you're equipped with the knowledge to calculate discounts yourself! This skill is invaluable for anyone who wants to be a savvy shopper and make their money go further. So, the next time you see a tempting discount, you'll know exactly how to figure out the savings. Keep practicing, and you'll become a discount-calculating pro in no time. Happy shopping, and may the discounts be ever in your favor!