A merchant obtains the retail price of an item by adding 39% to the wholesale price. Later, he has a sale and marks every item down 39% from the retail price. Is the sale price the same as the wholesale price? (Hint: Consider a specific item whose wholesale price is $100.) The sale price the same as the wholesale price because the wholesale price is $ and the sale price is $ (Type an integer or a decimal.)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### Understanding Retail and Sale Pricing
**Scenario:**
A merchant sets the retail price of an item by adding 39% to its wholesale price. Later, the merchant decides to have a sale and marks down every item by 39% from its retail price. The question is whether the sale price is the same as the wholesale price.
**Hint:**
Consider an item with a wholesale price of $100.
**Problem Statement:**
The sale price [Dropdown: is / is not] the same as the wholesale price because the wholesale price is $[Blank] and the sale price is $[Blank]. (Type an integer or a decimal and complete the statement).
### Explanation:
This problem assesses your understanding of percentage increases and decreases and how they affect pricing. By calculating based on the given wholesale price, you can draw conclusions about the relationship between wholesale, retail, and sale prices. Here's how you approach this:
1. **Calculate the Retail Price:**
- Wholesale Price: $100
- Retail Price (after 39% increase):
\[
\text{Retail Price} = 100 + (0.39 \times 100) = 100 + 39 = 139
\]
2. **Calculate the Sale Price:**
- Retail Price: $139
- Sale Price (after 39% decrease):
\[
\text{Sale Price} = 139 - (0.39 \times 139) = 139 - 54.21 = 84.79
\]
### Conclusion:
The sale price is not the same as the wholesale price. Specifically:
- Wholesale Price: $100
- Sale Price: $84.79](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdae00ab4-d615-48c1-8bca-63853cfbe238%2F29ce003c-f413-45e4-8759-9367de455fe2%2Fywlck_processed.png&w=3840&q=75)
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