What is 15 percent of 95?
a. 14.25
b. 18.5
c. 24.25
d. 28.5
The Correct Answer and Explanation is:
To calculate 15 percent of 95, you can use the following formula for percentage calculation:
[
\text{Percentage} = \left( \frac{\text{Percentage Rate}}{100} \right) \times \text{Original Value}
]
In this case, the percentage rate is 15%, and the original value is 95. So, we plug the numbers into the formula:
[
\text{Percentage of 95} = \left( \frac{15}{100} \right) \times 95
]
Now simplify the fraction:
[
\frac{15}{100} = 0.15
]
So, the calculation becomes:
[
0.15 \times 95 = 14.25
]
Thus, 15 percent of 95 is 14.25. The correct answer is a. 14.25.
Detailed Explanation:
Percentages are a way of expressing a number as a fraction of 100. The word “percent” comes from the Latin per centum, meaning “by the hundred.” When you are asked to find a percentage of a number, you multiply the number by the decimal equivalent of the percentage rate.
Here, the problem asks for 15% of 95. To convert 15% into a decimal, divide it by 100:
[
15\% = \frac{15}{100} = 0.15
]
Next, multiply 95 by 0.15:
[
0.15 \times 95 = 14.25
]
This is the desired result. Understanding how to convert a percentage into a decimal and then multiplying it by the number is key to solving such problems. In real-life scenarios, calculating percentages can be useful for things like determining discounts, tax rates, or even grades in school.
So, when you encounter a similar problem, you can follow this same method of converting the percentage to a decimal and multiplying by the original value.