If the selling price if Rs. 1680 after getting a discount of 16%, what was he mared price ?

Options

A. Rs. 2000
B. Rs. 1948.8
C. Rs. 1411.2
D. Rs. 1448

Answer

To find the marked price of an article when the selling price is given after a discount, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Known Values:**
- Selling Price (SP) = Rs. 1680
- Discount Percentage (D) = 16%

2. **Let the Marked Price (MP) be represented as \( x \).**

3. **Calculate the Discount:**
- The formula for discount is:
\[ \text{Discount} = \frac{\text{Discount Percentage} \times \text{Marked Price}}{100} \]
- Substituting the known values:
\[ \text{Discount} = \frac{16 \times x}{100} = \frac{16x}{100} \]

4. **Relate Selling Price to Marked Price and Discount:**
- The formula for selling price is:
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} \]
- Substituting the expressions we have:
\[ 1680 = x - \frac{16x}{100} \]

5. **Simplify the Equation:**
- Combine the terms on the right side:
\[ 1680 = x - 0.16x \]
\[ 1680 = 0.84x \]

6. **Solve for Marked Price (x):**
- Rearranging the equation to find \( x \):
\[ x = \frac{1680}{0.84} \]
- Performing the division:
\[ x = 2000 \]

7. **Conclusion:**
- The marked price of the article is Rs. 2000.

### Final Answer:
- The marked price is Rs. 2000.