Question 9

165 is 110% of 150.

To find what percent 165 is of 150, you can use the formula (Part/Whole) x 100. Therefore, (165/150) x 100 equals 110%.

A) 95%

This option is incorrect because 95% of 150 would equal 142.5, which is significantly less than 165. The correct calculation shows that 165 is greater than 150, indicating a percentage above 100%.

B) 110%

This option is correct as it accurately represents the calculation of (165/150) x 100, which results in 110%. This indicates that 165 is 110% of 150, confirming the relationship between the two numbers.

C) 111%

This option is incorrect because 111% of 150 would equal 166.5. Since 165 is less than 166.5, 165 cannot be 111% of 150, making this option invalid.

D) 115%

This option is also incorrect as 115% of 150 equals 172.5. Since 165 is less than 172.5, this indicates that 165 cannot be 115% of 150.

Conclusion

The correct answer, 110%, accurately describes the proportion of 165 to 150. All other options fail because they either underestimate or overestimate the percentage, demonstrating a misunderstanding of the calculation method required to determine the percentage relationship between the two numbers.