25 metre is x% of 750 metre. The value of x is-

Options

A. 0.2666
B. 0.1633
C. 0.1666
D. 0.6666

Answer

To find the value of \( x \) in the equation where 25 meters is \( x\% \) of 750 meters, we can follow these steps:

### Step 1: Set up the equation
We know that \( x\% \) of 750 meters is equal to 25 meters. This can be expressed mathematically as:
\[ \frac{x}{100} \times 750 = 25 \]

### Step 2: Simplify the equation
To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ x \times 750 = 25 \times 100 \]
This simplifies to:
\[ 750x = 2500 \]

### Step 3: Solve for \( x \)
Now, we divide both sides of the equation by 750 to isolate \( x \):
\[ x = \frac{2500}{750} \]

### Step 4: Simplify the fraction
Next, we simplify the fraction \( \frac{2500}{750} \). Both the numerator and denominator can be divided by 250:
\[ x = \frac{2500 \div 250}{750 \div 250} = \frac{10}{3} \]

### Step 5: Convert to percentage
To convert \( \frac{10}{3} \) into a percentage, we multiply by 100:
\[ x = \frac{10}{3} \times 100 = \frac{1000}{3} \approx 333.33 \]

### Final Answer
Thus, the value of \( x \) is approximately \( 333.33\% \).

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