In an election, only 75% of the voters casted their votes. Out of these casted votes, 5% were declared invalid. If one of the candidates got 4275 votes which is 30% of the total valid votes then find the number of casted votes.

In an election, only 75% of the voters casted their votes. Out of these casted votes, 5% were declared invalid. If one of the candidates got 4275 votes which is 30% of the total valid votes then find the number of casted votes. Correct Answer 15000

Suppose total number of voters = x

⇒ Number of casted votes = 0.75x

⇒ Number of valid votes = 0.75x × 0.95

Since one of the candidates got 4275 votes which is 30% of the total valid votes

⇒ 0.75x × 0.95 × 0.3 = 4275

⇒ 0.75x = 15000

⇒  Number of total votes = 20000

total number fo cast vote = 20000 × 75%

∴ 15000

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