# Reach example 3: unique people to percentage

Subject: Advertising and Public Relations

Exam: TEE

Reader: https://deep-learning-study-room.vercel.app/apr/#tee/practice/numbers/reach3

Canonical: https://deep-learning-study-room.vercel.app/read/apr/tee/practice/numbers--reach3/

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

| Quantity | Value |
| --- | --- |
| Unique people reached | 3,750 |
| Target population | 25,000 |
| Period | One month |

## To find

Percentage of the target reached at least once.

## Formula and why



$$
R_{\%}=\frac{n}{N}\times100
$$



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



$$
R_{\%}=\frac{3750}{25000}\times100
$$



#### Step 2. Divide to obtain the share



$$
\frac{3750}{25000}=0.15
$$



#### Step 3. Convert the share to a percentage



$$
0.15\times100=15\%
$$



**Final answer:** 15% reach.

#### Practical interpretation · What the answer means

15 out of every 100 target members had at least one exposure opportunity. The calculation does not establish whether they remembered or purchased.