Question

If B is\(\frac{5}{2}\)times of A then A is what percentage of B?

• A. 40%
• B. 20%
• C. 60%
• D. 50%

Answer 1

The Correct Option is A

Finding the Percentage of A in B 

Step 1: Given Equation

We are given the equation:

\[ B = \frac{5}{2} A \]

Step 2: Express A in Terms of B

Rearrange the equation to solve for \( A \):

\[ A = \frac{2}{5} B \]

Step 3: Compute the Percentage

The percentage of \( A \) in \( B \) is given by:

\[ \frac{A}{B} \times 100 \]

Substituting \( A = \frac{2}{5} B \):

\[ \frac{\frac{2}{5} B}{B} \times 100 \]

Canceling \( B \):

\[ \frac{2}{5} \times 100 = 40\% \]

Final Answer:

Thus, the correct answer is 40% (Option A).