The marked price of an article is Rs 1840 and is sold at a discount of Rs 368. What is the discount percentage?

Options

A. 15
B. 20
C. 25
D. 30

Answer

To find the discount percentage, we can use the formula:

\[ \text{Discount Percentage} = \left( \frac{\text{Discount}}{\text{Marked Price}} \right) \times 100 \]

### Step-by-Step Solution:

1. **Identify the Marked Price (MP) and Discount:**
- Marked Price (MP) = Rs 1840
- Discount = Rs 368

2. **Substitute the values into the formula:**
\[ \text{Discount Percentage} = \left( \frac{368}{1840} \right) \times 100 \]

3. **Calculate the fraction:**
- First, simplify \( \frac{368}{1840} \).
- To simplify, divide both the numerator and the denominator by 8:
\[ \frac{368 \div 8}{1840 \div 8} = \frac{46}{230} \]

4. **Further simplify \( \frac{46}{230} \):**
- Divide both by 2:
\[ \frac{46 \div 2}{230 \div 2} = \frac{23}{115} \]

5. **Calculate the decimal value:**
- Now, divide 23 by 115:
\[ \frac{23}{115} \approx 0.2 \]

6. **Convert to percentage:**
- Multiply by 100 to find the percentage:
\[ 0.2 \times 100 = 20\% \]

### Final Answer:
The discount percentage is **20%**.