Advertising and Public Relations · TEE · practice

Reach example 3: unique people to percentage

Optional numerical practice

Extra drills; no claim that these exact questions or allocated marks appeared in TEE

Optional practice question. During one month, an advertisement reaches 3,750 distinct members of a target population of 25,000. Calculate percentage reach. [2 practice marks]

Answer

Authored illustration: these numbers were chosen to explain a faculty-note concept. No matching supplied-data question was found in the 14 recovered APR papers. Standalone calculation drills are optional practice; their marks are author-set.

Given

QuantityValue
Unique people reached3,750
Target population25,000
PeriodOne month

To find

Percentage of the target reached at least once.

Formula and why

R_{\%}=\frac{n}{N}\times100LaTeX: R_{\%}=\frac{n}{N}\times100

Here n is the distinct people reached and N is the whole target. Divide part by whole, then multiply by 100.

Step-by-step solution

Step 1. Substitute the two counts

R_{\%}=\frac{3750}{25000}\times100LaTeX: R_{\%}=\frac{3750}{25000}\times100

Step 2. Divide to obtain the share

\frac{3750}{25000}=0.15LaTeX: \frac{3750}{25000}=0.15

Step 3. Convert the share to a percentage

0.15\times100=15\%LaTeX: 0.15\times100=15\%

Final answer: 15% reach.