If a material is sold for Rs.34.80, there is a loss of `25%`. Find out the cost price of the material?

Options

A. Rs 46.40
B. Rs44
C. Rs42
D. Rs47.20

Answer

To find the cost price of the material when it is sold at a loss of 25%, we can follow these steps:

### Step 1: Identify the given values
- Selling Price (SP) = Rs. 34.80
- Loss Percentage = 25%

### Step 2: Understand the relationship between Selling Price, Cost Price, and Loss
When there is a loss, the Selling Price can be calculated using the formula:
\[ SP = CP \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \]
Where:
- SP = Selling Price
- CP = Cost Price

### Step 3: Substitute the known values into the formula
We can substitute the Selling Price and the Loss Percentage into the formula:
\[ 34.80 = CP \times \left(1 - \frac{25}{100}\right) \]
This simplifies to:
\[ 34.80 = CP \times \left(1 - 0.25\right) \]
\[ 34.80 = CP \times 0.75 \]

### Step 4: Solve for Cost Price (CP)
To find the Cost Price, we can rearrange the equation:
\[ CP = \frac{34.80}{0.75} \]

### Step 5: Calculate the Cost Price
Now, we perform the division:
\[ CP = \frac{34.80}{0.75} = 46.40 \]

### Conclusion
The Cost Price of the material is Rs. 46.40.

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