In an election between two candidates P and Q, P got 78% of the total valid votes. If the total votes of the electorate were 75,60,000, then what was the number of valid votes that Q got if 10% of the voters did not cast their vote and 15% of the votes polled were declared invalid?

Question

Accepted Answer

Step 1: Total electorate = 7,560,000

Step 2: 10% did not cast vote, so votes polled = 90% of 7,560,000 = 0.9 × 7,560,000 = 6,804,000

Step 3: 15% of votes polled were invalid, so valid votes = 85% of 6,804,000 = 0.85 × 6,804,000 = 5,783,400

Step 4: P got 78% of valid votes, so votes for P = 0.78 × 5,783,400 = 4,510,052

Step 5: Votes for Q = valid votes - votes for P = 5,783,400 - 4,510,052 = 1,273,348

Step 6: Check options: 1,273,348 is closest to 12,72,348 (option 3), but note the comma placement in Indian numbering system means 12,72,348 = 1,272,348 which is close to our calculated value.

Recalculate carefully:  
Votes polled = 90% of 7,560,000 = 6,804,000
Valid votes = 85% of 6,804,000 = 5,783,400
Votes for P = 78% of 5,783,400 = 0.78 × 5,783,400 = 4,510,052  
Votes for Q = 5,783,400 - 4,510,052 = 1,273,348

So the correct answer is approximately 1,273,348 which matches option 3 (12,72,348 in Indian notation).

Hence, the correct option is 3.

Answer

Answer

Answer