Find the SP when CP is Rs. 40 and gain is 25%.

Options

A. Rs. 50
B. Rs 45
C. Rs. 60
D. Rs. 49

Answer

To find the Selling Price (SP) when the Cost Price (CP) is Rs. 40 and the gain is 25%, follow these steps:

### Step 1: Understand the relationship between CP, SP, and gain percentage.
The Selling Price (SP) can be calculated using the formula:
\[ SP = CP + \text{Gain} \]
Where Gain can be expressed in terms of percentage:
\[ \text{Gain} = \left( \frac{\text{Gain Percentage}}{100} \times CP \right) \]

### Step 2: Calculate the Gain.
Given that the Gain Percentage is 25%, we can calculate the Gain as follows:
\[ \text{Gain} = \left( \frac{25}{100} \times 40 \right) \]
\[ \text{Gain} = 0.25 \times 40 \]
\[ \text{Gain} = 10 \]

### Step 3: Calculate the Selling Price (SP).
Now that we have the Gain, we can find the SP:
\[ SP = CP + \text{Gain} \]
\[ SP = 40 + 10 \]
\[ SP = 50 \]

### Final Answer:
The Selling Price (SP) is Rs. 50.

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