Question

If 20% of \(a\) equals \(b\), then \(b\%\) of 20 is the same as

• A. 4% of a
• B. 5% of a
• C. 20% of a
• D. 10% of a

Hint:

Substitute b = 0.2a and simplify, or test with a = 100.

Answer 1

The Correct Option is A

Step 1: Express b.
\(20\%\) of \(a\) is \(b\), so \(b=0.2a\).
Step 2: Compute b% of 20.
\(\dfrac{b}{100}\times20=\dfrac{0.2a}{100}\times20=0.04a\).
Step 3: Read as a percent of a.
\(0.04a=4\%\) of \(a\).
\[\boxed{4\%\ \textrm{of }a}\]