In jume, the price of a DVD player that sells for $150 is increased by 10%. In july, the price of the same DVD player is decreased by 10% of its current selling price. What is the new selling price of the DVD player?

Options

A. 140
B. 148.5
C. 150
D. 152.5

Answer

To solve the problem step by step, we will calculate the price of the DVD player after the increase in June and then after the decrease in July.

### Step 1: Calculate the price increase in June
- The original price of the DVD player is $150.
- The price is increased by 10%.

To find the increase:
\[ \text{Increase} = \text{Original Price} \times \left(\frac{\text{Percentage Increase}}{100}\right) = 150 \times \left(\frac{10}{100}\right) = 150 \times 0.10 = 15 \]

Now, add the increase to the original price:
\[ \text{New Price in June} = \text{Original Price} + \text{Increase} = 150 + 15 = 165 \]

### Step 2: Calculate the price decrease in July
- The price in June is now $165.
- The price is decreased by 10% of the current selling price.

To find the decrease:
\[ \text{Decrease} = \text{Price in June} \times \left(\frac{\text{Percentage Decrease}}{100}\right) = 165 \times \left(\frac{10}{100}\right) = 165 \times 0.10 = 16.5 \]

Now, subtract the decrease from the price in June:
\[ \text{New Price in July} = \text{Price in June} - \text{Decrease} = 165 - 16.5 = 148.5 \]

### Final Answer
The new selling price of the DVD player after the changes in June and July is **$148.5**.

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