Advertising and Public Relations · TEE · practice

Reach example 1: unique people to percentage

Optional numerical practice

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

Faculty-note worked example. During one month, an advertisement reaches 3,000 distinct members of a target population of 10,000. Calculate percentage reach. [2 practice marks]

Answer

Faculty-note worked example: the values come from APR M2 notes p27. The question has been rewritten to teach the steps; this is not verbatim PYQ wording. Any practice-mark allocation is author-set.

Given

QuantityValue
Unique people reached3,000
Target population10,000
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{3000}{10000}\times100LaTeX: R_{\%}=\frac{3000}{10000}\times100

Step 2. Divide to obtain the share

\frac{3000}{10000}=0.3LaTeX: \frac{3000}{10000}=0.3

Step 3. Convert the share to a percentage

0.3\times100=30\%LaTeX: 0.3\times100=30\%

Final answer: 30% reach.