Correct Answer - Option 3 : 16000
Given:
In an election X got 30% of the total votes. Y got 25% of the total votes. Z got the remaining votes and he got 9600 more votes than X.
Formula:
Percentage increase/ decrease = [(new - actual)/actual] × 100%
Calculation:
Total no. of votes = 100%
⇒ X + Y + Z = 100%
⇒ 30% + 25% + Z = 100%
⇒ Z = 45%
And Z got 9600 more votes than X.
Z – X = 45% - 30% = 15%
15% = 9600
⇒ 1% = 640
And 100% = 64000 = total votes
Number of votes Y got = (25/100) × 64000 = 16000
∴ Number of votes Y got is 16000.