®Free ACCUPLACER Arithmetic Test

Rationale

The number is 500% of 40.

To find what percent a number is of another number, we can use the relationship established in the question. If 40 represents 20% of a number, then that number must be 200, since 20% of 200 equals 40. To determine what percent 200 is of 40, we can set up the calculation, which reveals that 200 is 500% of 40. A) When we calculate what percent 200 is of 40, we use the formula: (part/whole) × 100. This gives us (200/40) × 100 = 500%. Thus, 200 is indeed 500% of 40, making this the correct choice. B) If we consider 200% of 40, we calculate (200/100) × 40, which results in 80. Therefore, claiming that the number (200) is 200% of 40 is incorrect; it is actually much larger. C) To find what percent 80 is of 40, we apply the same formula: (80/40) × 100 = 200%. This choice misrepresents the relationship, as 80 is not the relevant number in this context, making it an incorrect option. D) If we were to determine what percent 20 is of 40, we would find (20/40) × 100 = 50%. This choice also does not relate to the question, where we need to determine what percent 200 is of 40, thus making it incorrect. Conclusion In this problem, we establish that if 40 is 20% of a number, that number is 200. Consequently, we find that 200 is 500% of 40, which directly answers the question posed. The calculations show that only option A accurately reflects the relationship between the numbers involved, validating it as the best answer.