SarkariPYQ

SSC CGL 2022 PYQ — Question 53

SSC CGL - 06 Dec 2022 - Shift 1 • Quantitative Aptitude • Q53

Back to paper

Two candidates P and Q contested in an election. 70% of the registered voters are P supporters. If 60% of the P supporters and 30% of the Q supporters are expected to vote for candidate P, then what percentage of the registered voters are expected to vote for candidate P?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 51%.

Explanation:

Let the total number of registered voters be 100.

Now, supporters of P = 70% of 100 = 70

So, supporters of Q = 100 - 70 = 30

Expected voters for P = 60% of 70 + 30% of 30 = 42 + 9 = 51

The percentage of registered voters which are expected to vote for candidate P = 51100×100{51 \over 100} \times 100 = 51%

Hence the percentage of the registered voters are expected to vote for candidate P is 51%.