Question

Difference of 500 and 200 in roman number
$$\begin{gathered} A.\text{ C} \\ B.\text{ CCC} \\ C.\text{ MMM} \\ D.\text{ D} \end{gathered}$$

Answer 1

Hint: In order to find the representation, first find the difference and then use the chart of roman number along with the rules for representation of roman number to convert the difference.

Complete step-by-step answer:
Given numbers are 500 and 200
So, the difference of 500 and 200 will be given as
$\Rightarrow 500-200=300$
Now we need to find the roman number representation of 300.
The general rules and chart for Roman numeral is as follows:
A) The roman numerals are represented by the following letters.
$$\begin{gathered} I=1 \\ V=5 \\ X=10 \\ L=50 \\ C=100 \\ D=500 \\ M=1000 \end{gathered}$$
B) If a numeral is followed by another numeral of lower denomination, the two are added together.
C) If a numeral is followed by one of lower denomination, the smaller numeral is subtracted from the greater.
From the given chart we know that 100 is represented by C. So, 200 will be represented by CC and 300 will be represented by CCC.
By using the above representation we know that 300 is represented as CCC.
Hence, the difference of 500 and 200 in roman number is CCC.
So, option B is the correct option.

Note: In order to find the roman number representation first try to simplify any equation before conversion. As conversion directly in Roman numeral form is very difficult. All the rules of roman numerals must be remembered. There may be many types of different representation, which may look quite good after adding and subtracting. But the representation of any number is unique.