The ratio between Ram's age and Rahim's age is 10:11. What is the age of Rahim in percentage of Ram's age?

Options

A. A) 109 `1/11` %
B. B)110%
C. C) 111 `1/9` %
D. D) 1.11

Answer

To find the age of Rahim in percentage of Ram's age, we can follow these steps:

### Step 1: Understand the ratio
The ratio of Ram's age to Rahim's age is given as 10:11. This means if Ram's age is represented as 10 parts, then Rahim's age is represented as 11 parts.

### Step 2: Assign variables
Let Ram's age = 10x and Rahim's age = 11x, where x is a common multiplier.

### Step 3: Calculate the percentage
To find Rahim's age as a percentage of Ram's age, we use the formula:

\[ \text{Percentage} = \left( \frac{\text{Rahim's age}}{\text{Ram's age}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Percentage} = \left( \frac{11x}{10x} \right) \times 100 \]

### Step 4: Simplify the expression
The x in the numerator and denominator cancels out:

\[ \text{Percentage} = \left( \frac{11}{10} \right) \times 100 \]

### Step 5: Calculate the final value
Now, calculate:

\[ \text{Percentage} = 1.1 \times 100 = 110 \]

### Conclusion
Rahim's age is 110% of Ram's age.