In a village, 30% of the population cast vote in favor of losing candi

1.	In a village, 30% of the population cast vote in favor of losing candidate C. If the winner candidate D got 15,169 votes, how many votes were received by candidate C?1. 21,6702. 15,0003. 10,6704. 6,501
Answer» Correct Answer - Option 4 : 6,501 Given: In a village, 30% of the population cast vote in favor of losing candidate C. Winner candidate D got 15,169 votes. Concepts used: Total votes cast = Vote gained by winner + votes gained by losing candidate Calculation: Let the total number of votes be x. Votes gained by losing canidate C = 30% of x = 0.30x Total votes cast = Vote gained by winner + votes gained by losing candidate ⇒ x = Vote gained by winner + 0.30x ⇒ Vote gained by winner = x - 0.30x = 0.70x Winner candidate D got 15,169 votes. ⇒ 0.70x = 15,169 ⇒ x = 15,169/0.70 ⇒ x = 21,670 votes Votes gained by losing canidate C = 30% of x = 0.30x ⇒ 0.30 × 21,670 ⇒ 6,501 votes ∴ Candidate C got 6,501 votes.

In a village, 30% of the population cast vote in favor of losing candidate C. If the winner candidate D got 15,169 votes, how many votes were received by candidate C?1. 21,6702. 15,0003. 10,6704. 6,501

Answer» Correct Answer - Option 4 : 6,501

Given:

In a village, 30% of the population cast vote in favor of losing candidate C.

Winner candidate D got 15,169 votes.

Concepts used:

Total votes cast = Vote gained by winner + votes gained by losing candidate

Calculation:

Let the total number of votes be x.

Votes gained by losing canidate C = 30% of x = 0.30x

Total votes cast = Vote gained by winner + votes gained by losing candidate

⇒ x = Vote gained by winner + 0.30x

⇒ Vote gained by winner = x - 0.30x = 0.70x

Winner candidate D got 15,169 votes.

⇒ 0.70x = 15,169

⇒ x = 15,169/0.70

⇒ x = 21,670 votes

Votes gained by losing canidate C = 30% of x = 0.30x

⇒ 0.30 × 21,670

⇒ 6,501 votes

∴ Candidate C got 6,501 votes.

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