If Selling Price is Rs. 72 & Gain Percentage = 20%, calculate the Cost Price.
A. Rs. 60
B. Rs. 58
C. Rs. 61
D. Rs. 59

Options

A. D
B. A
C. B
D. C

Answer

To calculate the Cost Price (CP) when the Selling Price (SP) is Rs. 72 and the Gain Percentage is 20%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price, Cost Price, and Gain Percentage.
The formula for Gain Percentage is given by:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \]
Where Gain is defined as:
\[ \text{Gain} = \text{Selling Price} - \text{Cost Price} \]

### Step 2: Substitute the known values into the Gain Percentage formula.
Given:
- Selling Price (SP) = Rs. 72
- Gain Percentage = 20%

We can rewrite the Gain Percentage formula as:
\[ 20 = \left( \frac{72 - \text{CP}}{\text{CP}} \right) \times 100 \]

### Step 3: Simplify the equation.
First, divide both sides by 100:
\[ 0.2 = \frac{72 - \text{CP}}{\text{CP}} \]

### Step 4: Cross-multiply to eliminate the fraction.
\[ 0.2 \times \text{CP} = 72 - \text{CP} \]

### Step 5: Rearrange the equation to isolate CP.
\[ 0.2 \text{CP} + \text{CP} = 72 \]
\[ 1.2 \text{CP} = 72 \]

### Step 6: Solve for CP.
Now, divide both sides by 1.2:
\[ \text{CP} = \frac{72}{1.2} \]
Calculating this gives:
\[ \text{CP} = 60 \]

### Conclusion
The Cost Price (CP) is Rs. 60.

### Options:
A. Rs. 60
B. Rs. 58
C. Rs. 61
D. Rs. 59

The correct answer is **Option A: Rs. 60**.

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