Understanding the Zoo Revenue Question

The question asks us to determine the exact revenue of the zoo on a specific day. Revenue is typically calculated as the number of visitors multiplied by the price paid per visitor.

We are given two statements and need to decide if one, both, or neither are sufficient to find this specific revenue figure.

Analyzing Statement I: Number of Visitors

Statement I tells us:

• 120 persons visited the zoo on that certain day.

This gives us half of the information needed to calculate revenue – the number of visitors. However, to find the revenue, we also need to know the price paid per ticket. Statement I provides no information about the ticket price.

Therefore, Statement I alone is not sufficient to answer the question.

Analyzing Statement II: Discount Information

Statement II tells us:

• A discount of 25% on ticket price was offered on that certain day.

This statement provides information about how the ticket price on that day relates to a potential original price (it was 25% less). However, it does not give us the actual ticket price in monetary terms. It also does not tell us how many people visited. To calculate revenue, we need both the number of visitors and the actual price paid per ticket.

Therefore, Statement II alone is not sufficient to answer the question.

Evaluating Statements I and II Together

Now let's consider if both statements together are sufficient:

• From Statement I, we know the number of visitors is 120.
• From Statement II, we know there was a 25% discount on the ticket price.

Even with both pieces of information, we still cannot determine the total revenue. We know 120 people visited, and they paid a price that was 25% less than some original price. However, we do not know what the actual ticket price (after the 25% discount) was in currency (e.g., dollars, rupees, etc.).

For example, if the original price was $10, the discounted price would be $10 \times (1 - 0.25) = \(7.50. Revenue would be \)7.50 \times 120$.

But if the original price was $20, the discounted price would be $20 \times (1 - 0.25) = \(15.00. Revenue would be \)15.00 \times 120$.

Since the actual ticket price (either original or discounted) is unknown, we cannot calculate the total revenue even by combining both statements.

Therefore, both statements I and II together are not sufficient to answer the question.

Conclusion on Sufficiency

Neither Statement I alone nor Statement II alone is sufficient, and both statements combined are also not sufficient to determine the zoo's revenue on that certain day.

The final answer is that neither statement I nor II is sufficient.

Revision Table: Zoo Revenue Data Sufficiency

Additional Information: Data Sufficiency Concepts

Data sufficiency questions test your ability to determine whether the information given in the statements is adequate to answer the question. You don't necessarily need to solve the question, just determine if a solution is possible.

Key points in Data Sufficiency:

• Analyze the question carefully to understand what is being asked.
• Evaluate each statement independently first.
• If neither statement alone is sufficient, evaluate both statements combined.
• Consider all possibilities and look for scenarios where the statements could lead to different answers (if they were sufficient).
• Common pitfalls include assuming information not explicitly given or making assumptions based on real-world knowledge that isn't in the statements.

In this zoo revenue example, the core missing piece of information is a concrete monetary value for the ticket price, whether it's the original price or the discounted price.