Vaani buys a dress costs Rs. 2874. Which of the following is the correct roman numeral (in Rs. ) for the cost of the dress?

Options

A. MMDCCLXXIV
B. MMDCCCLXXIV
C. MMDCCCLXIV
D. MMDCCCLXXVI

Answer

To convert the cost of the dress, Rs. 2874, into Roman numerals, we can break down the number into its components based on the place values (thousands, hundreds, tens, and units).

### Step-by-Step Solution:

1. **Break Down the Number:**
- The number 2874 can be broken down as:
- 2000 + 800 + 70 + 4

2. **Convert Each Component to Roman Numerals:**
- **2000**: In Roman numerals, 2000 is represented as **MM** (M = 1000, so MM = 1000 + 1000).
- **800**: In Roman numerals, 800 is represented as **DCCC** (D = 500, C = 100, so D + CCC = 500 + 300).
- **70**: In Roman numerals, 70 is represented as **LXX** (L = 50, X = 10, so L + XX = 50 + 20).
- **4**: In Roman numerals, 4 is represented as **IV** (I = 1, V = 5, so IV = 5 - 1).

3. **Combine the Roman Numerals:**
- Now, combine all the Roman numeral components:
- 2000 (MM) + 800 (DCCC) + 70 (LXX) + 4 (IV) = **MMMDCCCLXXIV**

4. **Final Answer:**
- Therefore, the cost of the dress, Rs. 2874, in Roman numerals is **MMMDCCCLXXIV**.