Question

Evaluate the following expression: m% of p% of n.

A. m * p * n%
B. m% * p * n%
C. m% of (p% of n)
D. m * p% * n%

Answer 1

To evaluate m% of p% of n, you multiply m/100 by p/100 and then by n, resulting in (mpn/10,000), which, when converted back into a percentage, is m * p * n%. Hence, the answer is option A.

Step-by-step explanation:

To evaluate the expression m% of p% of n, you would follow these steps:

1. First, understand that the percent symbol (%) means 'per hundred'.
2. So, m% means m per hundred, or m/100.
3. Similarly, p% means p per hundred, or p/100.
4. To find m% of p%, you multiply m/100 times p/100, which yields mp/10,000.
5. To then find m% of p% of n, you would multiply mp/10,000 by n, resulting in mpn/10,000.
6. Finally, to express this as a percentage of n, you move the decimal two places to the right, yielding (mpn/10,000) * 100%, which is mpn%.

So, the correct evaluation of the expression m% of p% of n is m * p * n%, which matches option A.