In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

Given Data

• Total votes = 7500
• Invalid votes = 20%
• One candidate gets 55% of valid votes; we need the other candidate's valid votes

Step 1: Compute valid votes
Valid votes = 80% of 7500 = 0.80 × 7500 = 6000

Step 2: Split between two candidates
Candidate A = 55% of 6000 = 0.55 × 6000 = 3300Candidate B = 6000 − 3300 = 2700

Check & Notes

• Percentages apply only to valid votes; remove invalid votes first.
• Alternatively, Candidate B = 45% of 6000 = 2700 gives the same result.

Final Answer
Valid votes polled by the other candidate = 2700.