A man incurs a loss of 19% on selling a product for 1000. What is the cost price of the product ?

Options

A. Rs 400
B. Rs 800
C. Rs 700
D. Rs 840.34

Answer

To find the cost price of the product when a man incurs a loss of 19% by selling it for 1000 rupees, we can follow these steps:

### Step 1: Understand the relationship between Cost Price (CP), Selling Price (SP), and Loss Percentage
When there is a loss, the Selling Price is less than the Cost Price. The formula to calculate Selling Price when there is a loss is:
\[ SP = CP - (Loss\% \times CP) \]

### Step 2: Express the Selling Price in terms of Cost Price
Given that the loss is 19%, we can express the Selling Price as:
\[ SP = CP - (0.19 \times CP) \]
This simplifies to:
\[ SP = CP \times (1 - 0.19) \]
\[ SP = CP \times 0.81 \]

### Step 3: Substitute the Selling Price
We know from the problem that the Selling Price (SP) is 1000 rupees. Therefore, we can set up the equation:
\[ 1000 = CP \times 0.81 \]

### Step 4: Solve for Cost Price
To find the Cost Price (CP), we can rearrange the equation:
\[ CP = \frac{1000}{0.81} \]

### Step 5: Calculate the Cost Price
Now, we perform the division:
\[ CP = \frac{1000}{0.81} \approx 1234.57 \]

### Conclusion
The cost price of the product is approximately 1234.57 rupees.