Question 2

500% of 40

If 40 is 20 percent of a number, then that number is 200. When determining what percentage 200 is of 40, we find that 200 is five times 40, which translates to 500%.

A) 500%

This option is correct because if 40 is 20% of a number, then the actual number is 200. To find what percentage 200 is of 40, we calculate (200/40) * 100, which equals 500%.

B) 200%

This option is incorrect. While 200 represents the absolute number that 40 is 20% of, it does not reflect the percentage of 40 that this number represents. Thus, saying 200% of 40 would incorrectly imply that 40 is twice its own value.

C) 80%

This option is incorrect as well. If 200 were 80% of 40, it would suggest that 40 is greater than the number itself, which contradicts our initial information that 40 is a portion of the larger number.

D) 20%

This option is also incorrect. The percentage of 40 that corresponds to 200 would be significantly higher than 20%. Since 40 is 20% of 200, the reverse relationship results in a much larger percentage.

Conclusion

The correct answer, 500%, accurately represents the relationship between the two numbers established in the question. All other options fail to correctly interpret the percentage relationship, either by underestimating or misrepresenting the calculations required to arrive at the solution.