On selling a fan for rs.810, Sunil gains 8% . For how much did he purchase it?

Options

A. Rs.450
B. Rs.550
C. Rs.650
D. Rs.750

Answer

To find the cost price of the fan that Sunil purchased, we can follow these steps:

### Step 1: Identify the given values
- Selling Price (SP) = Rs. 810
- Gain Percentage = 8%

### Step 2: Use the formula for Cost Price (CP)
The formula to find the Cost Price when the Selling Price and Gain Percentage are known is:
\[ CP = \frac{100}{100 + \text{Gain Percentage}} \times SP \]

### Step 3: Substitute the values into the formula
Now, we can substitute the values we have into the formula:
\[ CP = \frac{100}{100 + 8} \times 810 \]
\[ CP = \frac{100}{108} \times 810 \]

### Step 4: Calculate the fraction
Next, calculate the fraction:
\[ CP = \frac{100 \times 810}{108} \]

### Step 5: Perform the multiplication
Now, multiply 100 by 810:
\[ CP = \frac{81000}{108} \]

### Step 6: Divide to find the Cost Price
Now, divide 81000 by 108:
\[ CP = 750 \]

### Conclusion
Thus, the Cost Price of the fan is Rs. 750.

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