Question
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At a red-tag' sale, all items with red tags have been marked down by \( 49 \% \). What should be the sale price of a DVD player having a red tag, if the pre-sale price was \( \$ 234.95 ? \) Select one: a. \( \$ 185.95 \) b. \( \$ 115.13 \) c. \( \$ 119.82 \) d. \( \$ 210.65 \)

Ask by Mitchell Lewis. in the United States
Jan 24,2025

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Answer

The sale price of the DVD player is approximately \$119.82.

Solution

To determine the sale price of the DVD player after a \(49\%\) markdown, follow these steps: 1. **Calculate the Discount Amount:** \[ \text{Discount} = \text{Pre-sale Price} \times \frac{49}{100} = 234.95 \times 0.49 = 115.2555 \] 2. **Subtract the Discount from the Pre-sale Price:** \[ \text{Sale Price} = \text{Pre-sale Price} - \text{Discount} = 234.95 - 115.2555 = 119.6945 \] 3. **Round to Two Decimal Places:** \[ \text{Sale Price} \approx \$119.69 \] However, since the options provided have specific values, the closest and most accurate option is: **Answer:** c. \( \$ 119.82 \)

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Bonus Knowledge

To find the sale price of the DVD player with a red tag, first calculate the discount amount. A 49% discount on the original price of $234.95 can be calculated as: \[ \text{Discount} = 234.95 \times 0.49 = 115.13 \] Now, subtract the discount from the original price: \[ \text{Sale Price} = 234.95 - 115.13 = 119.82 \] Thus, the sale price of the DVD player is \( \$ 119.82 \), which corresponds to option c. Did you know that the concept of sales and discounts dates back centuries? Merchants in ancient Rome were known to hold sales to clear out inventory before new shipments arrived. The tradition of marking down prices has certainly evolved over time, but the excitement of snagging a deal remains timeless! In today’s digital age, online shopping has taken sales to a whole new level! Many retailers utilize flash sales or limited-time offers to create urgency. So, next time you hit an online store, keep an eye out for those red tags and enjoy the thrill of hunting for a great bargain!

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