1. **Problem statement:**
Calculate the revenue from only drinks given the total revenue and percentages of revenue from entries, drinks, and food, including their intersections.
2. **Given data:**
- Total revenue $= 200000$
- $P(E) = 53\%$
- $P(B) = 58\%$
- $P(C) = 17\%$
- $P(E \cap B) = 13\%$
- $P(E \cap C) = 10\%$
- $P(E \cap B \cap C) = 5\%$
- $P(\text{only } C) = 2\%$
3. **Goal:** Find $P(\text{only } B)$, the revenue percentage from only drinks.
4. **Formula and rules:**
Use the principle of inclusion-exclusion for three sets:
$$
P(E \cup B \cup C) = P(E) + P(B) + P(C) - P(E \cap B) - P(E \cap C) - P(B \cap C) + P(E \cap B \cap C)
$$
We know $P(\text{only } C) = P(C) - P(E \cap C) - P(B \cap C) + P(E \cap B \cap C) = 2\%$.
5. **Find $P(B \cap C)$:**
$$
P(\text{only } C) = P(C) - P(E \cap C) - P(B \cap C) + P(E \cap B \cap C) \\ 2 = 17 - 10 - P(B \cap C) + 5 \\ 2 = 12 - P(B \cap C) \\ P(B \cap C) = 10\%
$$
6. **Calculate $P(\text{only } B)$:**
$$
P(\text{only } B) = P(B) - P(E \cap B) - P(B \cap C) + P(E \cap B \cap C) \\ = 58 - 13 - 10 + 5 = 40\%
$$
7. **Calculate revenue from only drinks:**
$$
\text{Revenue only drinks} = 40\% \times 200000 = 0.40 \times 200000 = 80000
$$
**Final answer:** The revenue from only drinks is 80000.
Revenue Only Drinks E888C7
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