Acer.com recently purchased 30 printers, each at $120. The store then sold the printers, to a dealer , all at the sam price. Had the store sold each printer for $10 more than what it actually did , the total profit made would have been $1800.What was the selling price of each printer ?

Options

A. `$50`
B. `$120`
C. `$150`
D. `$170`

Answer

To find the selling price of each printer, let's break down the problem step by step.

### Step 1: Understand the Cost Price
The cost price (CP) of each printer is given as $120. Since Acer.com purchased 30 printers, the total cost price for all printers is:
\[ \text{Total CP} = 30 \times 120 = 3600 \]

### Step 2: Define the Selling Price
Let the selling price (SP) of each printer be \( X \). Therefore, the total selling price for all printers is:
\[ \text{Total SP} = 30 \times X \]

### Step 3: Calculate Profit
Profit is defined as:
\[ \text{Profit} = \text{Total SP} - \text{Total CP} \]
Substituting the values we have:
\[ \text{Profit} = (30 \times X) - 3600 \]

### Step 4: Selling Price with Increased Price
According to the problem, if the store sold each printer for $10 more, the selling price would be \( X + 10 \). The new total selling price would then be:
\[ \text{New Total SP} = 30 \times (X + 10) \]

### Step 5: Calculate New Profit
The profit made when selling at the increased price is given as $1800. Thus:
\[ \text{New Profit} = \text{New Total SP} - \text{Total CP} \]
Substituting the values:
\[ 1800 = (30 \times (X + 10)) - 3600 \]

### Step 6: Simplify the Equation
Now, let's simplify the equation:
\[ 1800 = 30X + 300 - 3600 \]
\[ 1800 = 30X - 3300 \]
Adding 3300 to both sides:
\[ 1800 + 3300 = 30X \]
\[ 5100 = 30X \]

### Step 7: Solve for X
Now we can solve for \( X \):
\[ X = \frac{5100}{30} = 170 \]

### Conclusion
The selling price of each printer is:
\[ \boxed{170} \]