The difference between CP and SP of a table fan is ₹ 175 if the the profit of `14%`. What is the selling price of that fan?

Options

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

Answer

To solve the problem step by step, we need to find the Selling Price (SP) of the table fan given the Cost Price (CP) and the profit percentage.

### Step 1: Understand the relationship between CP, SP, and Profit
The relationship between Cost Price (CP), Selling Price (SP), and Profit can be expressed as:
\[ \text{Profit} = \text{SP} - \text{CP} \]

### Step 2: Express Profit in terms of CP
Given that the profit percentage is 14%, we can express the profit in terms of CP:
\[ \text{Profit} = \frac{14}{100} \times \text{CP} \]

### Step 3: Set up the equation
From the problem, we know that the difference between SP and CP is ₹175:
\[ \text{SP} - \text{CP} = 175 \]

### Step 4: Substitute the profit expression into the equation
We can substitute the expression for profit into the equation:
\[ \frac{14}{100} \times \text{CP} = 175 \]

### Step 5: Solve for CP
To find CP, we can rearrange the equation:
\[ \text{CP} = \frac{175 \times 100}{14} \]

Calculating this gives:
\[ \text{CP} = \frac{17500}{14} = 1250 \]

### Step 6: Calculate SP
Now that we have CP, we can find SP using the profit formula:
\[ \text{SP} = \text{CP} + \text{Profit} \]
\[ \text{Profit} = \frac{14}{100} \times 1250 = 175 \]
Thus,
\[ \text{SP} = 1250 + 175 = 1425 \]

### Final Answer
The Selling Price (SP) of the table fan is ₹1425.

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