The difference between CP and SP of a table fan is Rs. 175 when it gives the profit of 14%. What is the selling price of that fan?

Options

A. 1225
B. 1450
C. 1425
D. 1275

Answer

To find the selling price (SP) of the table fan, we can follow these steps:

### Step 1: Understand the relationship between Cost Price (CP), Selling Price (SP), and Profit
The profit percentage is given as 14%. This means that the selling price is 114% of the cost price (CP).

### Step 2: Set up the equation
Let the cost price (CP) be represented as \( x \). Therefore, the selling price (SP) can be expressed as:
\[ SP = CP + Profit = x + 0.14x = 1.14x \]

### Step 3: Use the information about the difference between SP and CP
According to the problem, the difference between the selling price and cost price is Rs. 175. This can be written as:
\[ SP - CP = 175 \]
Substituting the expression for SP, we have:
\[ 1.14x - x = 175 \]

### Step 4: Simplify the equation
Now simplify the equation:
\[ 0.14x = 175 \]

### Step 5: Solve for CP (x)
To find the cost price \( x \), divide both sides by 0.14:
\[ x = \frac{175}{0.14} \]
Calculating this gives:
\[ x = 1250 \]

### Step 6: Calculate the Selling Price (SP)
Now that we have the cost price, we can find the selling price using the formula we established earlier:
\[ SP = 1.14x = 1.14 \times 1250 \]
Calculating this gives:
\[ SP = 1425 \]

### Final Answer
Thus, the selling price of the fan is Rs. 1425.

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