In the Assam election, there were two candidates – A and B and 10% of the total votes were declared invalid. A gets 48% of the total votes and won by 60 votes. Find the number of votes obtained by B in the election.

Given: Invalid votes = 10% A gets 48% of the total votes and won by 60 votes Calculation: Let the total number of votes be 100x. Out of total votes, 10% of votes were declared invalid So, the number of invalid votes = (10/100) × 100x = 10x A gets 48% of the total votes So, the number of votes obtained by A = (48/100) × 100x = 48x And the number of votes obtained by B = 100x – 48x – 10x = 42x Now, the difference between A and B ⇒ 48x – 42x = 60 ⇒ 6x = 60 ⇒ x = 10 Now, the number of votes obtained by B ⇒ 42x ⇒ 42 × 10 ⇒ 420 votes ∴ B has obtained 420 votes in Assam election.