Question

What percentage of X's salary is Y's salary?
(1) X's salary is 20% of Z's salary.
(2) Y's salary is 45% of Z's salary.

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Statement (1) and (2) together are not sufficient.

Answer 1

Answer: (C)

Both statements together are sufficient, but neither statement alone is sufficient.

(1) $\Rightarrow$ X's salary = 20% of Z's salary
(2) $\Rightarrow$ Y'x salary = 45% of Z's salary
$\Rightarrow \frac{\text{X's salary}}{\text{Y's salary}}=\frac{20}{45}=\frac{4}{9}$
Hence, both the statements together are sufficient to answer the question.