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Three persons Dhruv, Danish and Damini contested in an election. The number of voters in the election was 35,500 out of which 10% was declared invalid. Dhruv won the election by receiving 40% of the valid votes. The votes received by Damini is 800 more than the votes received by Danish. What is the difference between the number of votes received by Dhruv and Danish?

Three persons Dhruv, Danish and Damini contested in an election. The number of voters in the election was 35,500 out of which 10% was declared invalid. Dhruv won the election by receiving 40% of the valid votes. The votes received by Damini is 800 more than the votes received by Danish. What is the difference between the number of votes received by Dhruv and Danish? Correct Answer 3595

Total number of votes in the election = 35,500

Total votes declared invalid = 10%

∴ Total valid votes = (90/100) × 35,500 = 31,950

Votes received by Danish = (40/100) × 31,950 = 12,780

Remaining votes = 31,950 – 12,780 = 19170

The votes received by Damini is 800 more than the votes received by Danish

∴ Let the votes received by Danish and Damini be x and x + 800 respectively

⇒ x + x + 800 = 19,170

⇒ 2x = 18370

⇒ x = 9185

Votes received by Danish = 9185

∴ The difference between the number of votes received by Dhruv and Danish = 12780 – 9185 = 3595

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