Vanni 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, which is Rs. 2874, into Roman numerals, we can break down the number into its components based on the values represented by Roman numerals. Here's the step-by-step solution:

### Step 1: Break down the number 2874 into its components
We can express 2874 as:
- 2000 + 800 + 70 + 4

### Step 2: Convert each component into 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 + 100 + 100 + 100).
- **70**: In Roman numerals, 70 is represented as **LXX** (L = 50, X = 10, so L + XX = 50 + 10 + 10).
- **4**: In Roman numerals, 4 is represented as **IV** (which is 5 - 1).

### Step 3: Combine all the Roman numeral components
Now, we combine all the components together:
- 2000 (MM) + 800 (DCCC) + 70 (LXX) + 4 (IV) = **MMMDCCLXXIV**

### Final Answer
Thus, the cost of the dress in Roman numerals is **MMMDCCLXXIV**.