Question

If 8:x=12:30, find the value of x.

• A. 18
• B. 20
• C. 25
• D. 15
• E. None of these

Answer 1

The Correct Option is B

Step 1: Understand the given proportion.
The proportion given is: \( \frac{8}{x} = \frac{12}{30} \)
This means that 8 is to \( x \) as 12 is to 30.

Step 2: Use the property of proportions.
The property of proportions states that the product of the means is equal to the product of the extremes. Hence, we can write:
\( 8 \times 30 = 12 \times x \)

Step 3: Solve for \( x \).
Simplifying the equation:
\( 240 = 12x \)
\( x = \frac{240}{12} = 20 \)

Step 4: Conclusion.
The value of \( x \) is 20.

Final Answer:
The correct option is (B): 20.