Find SP when CP = Rs. 56.25 and Gain = 20%.

Options

A. a. rs. 72
B. b. rs. 67.5
C. c. rs. 50
D. d. rs. 75

Answer

To find the Selling Price (SP) when the Cost Price (CP) is Rs. 56.25 and the Gain is 20%, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information**:
- Cost Price (CP) = Rs. 56.25
- Gain Percentage = 20%

2. **Use the Formula for Gain Percentage**:
The formula for Gain Percentage is:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{CP}} \right) \times 100 \]
Rearranging this formula to find Gain gives us:
\[ \text{Gain} = \left( \frac{\text{Gain Percentage} \times \text{CP}}{100} \right) \]

3. **Substitute the Values**:
Substitute the values of Gain Percentage and CP into the formula:
\[ \text{Gain} = \left( \frac{20 \times 56.25}{100} \right) \]

4. **Calculate the Gain**:
First, calculate \( 20 \times 56.25 \):
\[ 20 \times 56.25 = 1125 \]
Now divide by 100:
\[ \text{Gain} = \frac{1125}{100} = 11.25 \]

5. **Calculate the Selling Price (SP)**:
The formula for Selling Price is:
\[ \text{SP} = \text{CP} + \text{Gain} \]
Substitute the values of CP and Gain:
\[ \text{SP} = 56.25 + 11.25 \]

6. **Perform the Addition**:
\[ \text{SP} = 67.50 \]

### Final Answer:
The Selling Price (SP) is Rs. 67.50.

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