Question
Download Solution PDFIn an election, A received 27% of the votes and B received 125,982 votes. 19% did not cast their votes. Find the number of votes received by A.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A received 27% of the total votes.
B received 125,982 votes.
19% of voters did not cast their votes.
Formula used:
Total votes = Votes received by A + Votes received by B + Votes not cast
Let the total number of eligible voters = V.
Then, Votes cast = 81% of V = 0.81V
Since A received 27% of total votes:
Votes received by A = 27% of V = 0.27V
Calculations:
B received 125,982 votes, so:
0.81V - 0.27V = 125,982
0.54V = 125,982
⇒ V = 125,982 ÷ 0.54
⇒ V = 233,300
Votes received by A:
⇒ 0.27V = 0.27 × 233,300
⇒ Votes received by A = 62,991
∴ A received 62,991 votes.
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