In an election, two candidates are contesting. The winner got 48% of total votes. His opponent got 34% of total votes and lost the election by 21000 votes. Rest of the votes were invalid. The total number of votes is:

Explanation

Given: The winner got 48% of the valid votes. His opponent got 34% of valid votes and lost the election by 21000 votes. Calculation: Let the total number of votes be 100x So, winner got = 100x × 48% ⇒ 48x Opponent got = 100x × 34% ⇒ 34x Now, 48x - 34x = 21000 ⇒ 14x = 21000 ⇒ x = 21000/14 ⇒ x = 1500 So, total votes = 1500 × 100 ⇒ 150000 ∴ The total number of valid votes is 150000 .