30. $P = (40\% \text{ of } A) + (65\% \text{ of } B)$ and $Q = (50\% \text{ of } A) + (50\% \text{ of } B)$ , where $A$ is greater than $B$ .

In this context, which of the following statements is correct?

$P$ is greater than $Q$ .

$Q$ is greater than $P$ .

$P$ is equal to $Q$ .

None of the above can be concluded with certainty.

Kepler. Discussing PYQs. Q.no. 30

30. P=(40% of A)+(65% of B)P = (40\% \text{ of } A) + (65\% \text{ of } B)P=(40% of A)+(65% of B) and Q=(50% of A)+(50% of B)Q = (50\% \text{ of } A) + (50\% \text{ of } B)Q=(50% of A)+(50% of B) , where AAA is greater than BBB . In this context, which of the following statements is correct?