# Reach example 2: unique people to percentage

Subject: Advertising and Public Relations

Exam: TEE

Reader: https://deep-learning-study-room.vercel.app/apr/#tee/practice/numbers/reach2

Canonical: https://deep-learning-study-room.vercel.app/read/apr/tee/practice/numbers--reach2/

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

### Optional practice question. During one month, an advertisement reaches 8,400 distinct members of a target population of 12,000. 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 | 8,400 |
| Target population | 12,000 |
| 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



$$
R_{\%}=\frac{8400}{12000}\times100
$$



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



$$
\frac{8400}{12000}=0.7
$$



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



$$
0.7\times100=70\%
$$



**Final answer:** 70% reach.

#### Practical interpretation · What the answer means

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