The difference between cost price and selling price is Rs 12.54. If loss percentage is 33%, then what is the cost price (in Rs)?

Options

A. 35.44
B. 50.54
C. 41
D. 38

Answer

To find the cost price based on the given information, we can follow these steps:

### Step 1: Understand the relationship between cost price (CP), selling price (SP), and loss.
The loss is defined as:
\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} \]

### Step 2: Set up the equations.
Given that the loss is Rs 12.54, we can express this as:
\[ \text{CP} - \text{SP} = 12.54 \]

Also, we know that the loss percentage is 33%. This can be expressed in terms of cost price:
\[ \text{Loss Percentage} = \frac{\text{Loss}}{\text{CP}} \times 100 \]
So, we can write:
\[ \frac{12.54}{\text{CP}} \times 100 = 33 \]

### Step 3: Rearranging the loss percentage equation.
From the above equation, we can rearrange it to find CP:
\[ 12.54 = 0.33 \times \text{CP} \]
Now, we can solve for CP:
\[ \text{CP} = \frac{12.54}{0.33} \]

### Step 4: Calculate the cost price.
Now we perform the division:
\[ \text{CP} = \frac{12.54}{0.33} \approx 38.00 \]

### Step 5: Conclusion.
Thus, the cost price is approximately Rs 38.00.

### Summary:
The cost price (CP) is Rs 38.00.

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