In a village election between three candidates, 80% of the voters cast their votes, out of which 3% votes were declared invalid. The winning candidate got 42,680 votes which were 55% of the total valid votes. Find the number of valid votes received by the candidate who stood third, given that he received only 10% of the total valid votes.

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Question

This question was previously asked in

SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 03 Aug, 2023 Shift 1)

Answer 1

Given:

80% of the voters voted.

3% of the votes are invalid

One candidate got 42680 votes which is 55% of the total valid votes.

Concept:

Invalid votes percent + valid votes percent = 100 percent

Calculation:

Let total voters be 1000x

Number of votes cast = 80% of 1000x = 800x

Number of valid votes = 97% of 800x = 776x

⇒ 55% of 776x = 42680

⇒ 42680x/100 = 42680

x = 100

Valid votes = 776x → 776 × 100 = 77600

The third one received only 10% of the total valid votes = 10% of 77600 = 7760

∴ The answer is 7760.