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In an election between two parties BJP and INC, the number of valid votes received by BJP exceeds the number of votes received by INC by 10% of the total number of votes polled. If 15% of the votes polled were invalid and a total of 9000 votes were polled, then how many valid votes did INC get?

In an election between two parties BJP and INC, the number of valid votes received by BJP exceeds the number of votes received by INC by 10% of the total number of votes polled. If 15% of the votes polled were invalid and a total of 9000 votes were polled, then how many valid votes did INC get? Correct Answer 3375

Given-

Total Votes polled = 9000

Percentage of invalid votes = 15%

Concept used-

Total votes Polled = Valid votes + Invalid Votes

Total Valid Votes = Votes received by BJP + Votes received by INC (i.e all the parties in the election)

Calculations-

Let total no of votes received by INC is x.

Votes received by BJP - Votes received by INC = 10% of total votes polled

⇒ Votes received by BJP - Votes received by INC = 10% of 9000

⇒ Votes received by BJP - x = 900

⇒ Votes received by BJP = x + 900

Now,

Total valid votes = (100 - 15)% of 9000

= 85% of 9000

= 7650

Total valid votes = Votes received by BJP + Votes received by INC

⇒ 7650 = x + 900 + x

⇒ 2x = 7650 - 900

⇒ x = 3375

∴ Total no of votes INC got is 3375

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