Question : 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?
Option 1: 30%
Option 2: 51%
Option 3: 26%
Option 4: 47%
Correct Answer: 51%
Solution :
Let the total voters be 1000
Then 700 are supporters of P and 300 are supporters of Q
Total votes to P
= 60% of 700 + 30% of 300
= 420 + 90
= 510
Percentage of voters of P
= $\frac{510}{1000} \times 100$
= 51%
Hence, the correct answer is 51%.
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