By selling a fan for Rs. 810, a dealer makes a profit of Rs. 60. What is the cost price of the fan? What is his profit percent?

Answer

To solve the problem step by step, we will break it down into two parts: finding the cost price of the fan and calculating the profit percentage.

### Step 1: Identify the Selling Price and Profit
- The selling price (SP) of the fan is given as Rs. 810.
- The profit (P) made by the dealer is Rs. 60.

### Step 2: Use the Profit Formula
The formula for profit is:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
Rearranging this formula gives us:
\[ \text{Cost Price} = \text{Selling Price} - \text{Profit} \]

### Step 3: Substitute the Values
Now, we can substitute the known values into the formula:
\[ \text{Cost Price} = 810 - 60 \]

### Step 4: Calculate the Cost Price
Perform the subtraction:
\[ \text{Cost Price} = 750 \]
So, the cost price of the fan is Rs. 750.

### Step 5: Calculate the Profit Percentage
The formula for profit percentage is:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]

### Step 6: Substitute the Values for Profit Percentage
Now, substitute the values into the formula:
\[ \text{Profit Percentage} = \left( \frac{60}{750} \right) \times 100 \]

### Step 7: Calculate the Profit Percentage
Perform the division:
\[ \frac{60}{750} = 0.08 \]
Now multiply by 100:
\[ \text{Profit Percentage} = 0.08 \times 100 = 8\% \]

### Final Answers
- The cost price of the fan is Rs. 750.
- The profit percentage is 8%.

---