In an election, a candidate got 75% of the total valid votes. If 20% of the total votes were declared invalid, and the total numbers of votes is 560000, find the number of valid votes polled in favour of the candidate.

Explanation

​ Given: A candidate got 75% of the total valid votes. The total number of votes is 560000. Total invalid votes are 20%. Calculation: Total number of invalid votes = 20% of 5,60,000 20 ⇒ 100 × 5,60,000 = 1,12,000 ​ Total number of valid votes = 5,60,000 - 1,12,000 = 4,48,000 Therefore, A candidate got 75% of the total valid votes ⇒ 4,48,000 × 75 100 ​ = 3,36,000 ∴ T he number of valid votes polled in favour of the candidate is 3,36,000. Shortcut Trick The number of valid votes polled in favour of the candidate ⇒ 5,60,000 × 80 100 ​ × 75 100 ​ = 3,36,000 ∴ The number of valid votes polled in favour of the candidate is 3,36,000.