Question

What % of 32 is \( x \)?
I. \( x \) is 10 percent of 20.
II. 800% of \( x \) is less than (4)

• A. If the statement I alone is sufficient to answer the question.
• B. If the statement II alone is sufficient to answer the question.
• C. If the statements I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. If the statements I and II together are not sufficient to answer the question and additional data is required.

Hint:

When calculating percentages, multiply by the percentage (in decimal form) and use simple algebra to solve for the unknown variable.

Answer 1

The Correct Option is A

From condition I, \( x \) is 10 percent of 20: \[ x = \frac{10}{100} \times 20 = 2 \] So, \( x = 2 \). Now, we substitute \( x = 2 \) in the original equation to find what percentage of 32 is \( x \): \[ \frac{x}{32} \times 100 = \frac{2}{32} \times 100 = \frac{200}{32} = 6.25% \] Thus, \( x \) is 6.25% of 32. Therefore, the correct answer is \( \boxed{1} \).