Question

A swimming club that sold only individual and family memberships charged ₹ 300 for an individual membership. If the club's total revenue from memberships was ₹ 480000, what was the charge for a family membership?
I. The revenue from individual memberships was $\frac{1}{4}$ of the total revenue from memberships.
II. The club sold 1.5 times as many family memberships as individual memberships.
Decide whether the data in the statements are sufficient to answer the question.

• A. if Statement I alone is sufficient but Statement II alone is not sufficient to answer the question
• B. if Statement II alone is sufficient but Statement I alone is not sufficient to answer the question
• C. if both statements taken together are sufficient to answer the question but neither Statement alone is sufficient
• D. if Statements I and II together are not sufficient, and additional data is needed to answer the question

Answer 1

Answer: (C)

if both statements taken together are sufficient to answer the question but neither Statement alone is sufficient

Answer 2

Statement 1:
Since we don't know total individual membership, we can't determine revenue from family membership from this condition.
Statement 2:
Let us say x is total no.of individual memberships; and y be total family memberships.
from the statement we have y=1.5x
and from the question we have$x+y = 480000$
So, value of y can be determined.
So the correct option is (C).