If a person lost `8%` by selling an article for ₹ 1,035, he bought the article for

Options

A. ₹ 1,135
B. ₹ 1,152
C. ₹ 1,105
D. ₹ 1,125

Answer

To find the cost price of the article when a person lost 8% by selling it for ₹1,035, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Selling Price, Cost Price, and Loss Percentage:**
The selling price (SP) can be calculated using the formula:
\[ SP = CP \times \left(1 - \frac{Loss\%}{100}\right) \]
where CP is the cost price and Loss% is the percentage loss.

2. **Substitute the Known Values:**
In this case, the selling price (SP) is ₹1,035 and the loss percentage is 8%. Therefore, we can rewrite the formula as:
\[ 1,035 = CP \times \left(1 - \frac{8}{100}\right) \]
Simplifying the term in the parentheses:
\[ 1 - \frac{8}{100} = 1 - 0.08 = 0.92 \]
So, we have:
\[ 1,035 = CP \times 0.92 \]

3. **Solve for Cost Price (CP):**
To find CP, we rearrange the equation:
\[ CP = \frac{1,035}{0.92} \]

4. **Calculate the Value:**
Now, perform the division:
\[ CP = \frac{1,035}{0.92} \approx 1,125 \]

5. **Conclusion:**
Therefore, the cost price of the article is ₹1,125.