Ram sold an article at 25% loss. If the SP of the article is Rs. 52,500, then find CP.

Options

A. Rs. 70,000
B. Rs. 72,000
C. Rs. 68,000
D. Rs. 75,000

Answer

To find the Cost Price (CP) of the article sold by Ram at a 25% loss, we can follow these steps:

### Step 1: Understand the relationship between SP, CP, and loss percentage
The formula to calculate the Cost Price when the Selling Price (SP) and loss percentage are known is:
\[ CP = SP \times \frac{100}{100 - \text{Loss Percentage}} \]

### Step 2: Identify the values from the question
From the question, we know:
- Selling Price (SP) = Rs. 52,500
- Loss Percentage = 25%

### Step 3: Substitute the values into the formula
Now, we can substitute the known values into the formula:
\[ CP = 52,500 \times \frac{100}{100 - 25} \]
\[ CP = 52,500 \times \frac{100}{75} \]

### Step 4: Simplify the fraction
Next, simplify the fraction:
\[ CP = 52,500 \times \frac{100}{75} = 52,500 \times \frac{4}{3} \]

### Step 5: Calculate the Cost Price
Now, perform the multiplication:
\[ CP = 52,500 \times \frac{4}{3} \]
\[ CP = 52,500 \times 1.3333 \approx 70,000 \]

### Step 6: Conclusion
Thus, the Cost Price (CP) of the article is Rs. 70,000.