Advertising and Public Relations · TEE · practice

Find BDI and CDI from raw totals

Optional numerical practice

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

Optional practice question. An area has 200,000 people out of a total population of 2,000,000. Brand sales are 30,000 units in the area and 200,000 units in all areas. Category sales are 120,000 units in the area and 600,000 units in all areas. Calculate BDI and CDI. [3 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

QuantityAreaTotal
Population200,0002,000,000
Brand sales30,000200,000
Category sales120,000600,000

To find

BDI and CDI after converting counts to their proper percentage shares.

Formula and why

P_{\%}=\frac{P_a}{P_T}100,\ B_{\%}=\frac{B_a}{B_T}100,\ C_{\%}=\frac{C_a}{C_T}100LaTeX: P_{\%}=\frac{P_a}{P_T}100,\ B_{\%}=\frac{B_a}{B_T}100,\ C_{\%}=\frac{C_a}{C_T}100
\text{BDI}=\frac{B_{\%}}{P_{\%}}100,\quad\text{CDI}=\frac{C_{\%}}{P_{\%}}100LaTeX: \text{BDI}=\frac{B_{\%}}{P_{\%}}100,\quad\text{CDI}=\frac{C_{\%}}{P_{\%}}100

Each share must use its matching total. Do not divide area brand sales by total category sales to obtain the brand-sales share used in BDI.

Step-by-step solution

Step 1. Find population share

\frac{200000}{2000000}\times100=10\%LaTeX: \frac{200000}{2000000}\times100=10\%

Step 2. Find brand-sales share

\frac{30000}{200000}\times100=15\%LaTeX: \frac{30000}{200000}\times100=15\%

Step 3. Find category-sales share

\frac{120000}{600000}\times100=20\%LaTeX: \frac{120000}{600000}\times100=20\%

Step 4. Compute BDI

\frac{15}{10}\times100=150LaTeX: \frac{15}{10}\times100=150

Step 5. Compute CDI

\frac{20}{10}\times100=200LaTeX: \frac{20}{10}\times100=200

Final answer: BDI = 150; CDI = 200.