In an election X got 30 Percent of the total votes. Y got 25 Percent of the total votes. Z got the remaining votes and he hot 9600 more votes than X. find the number of votes Y got.

Correct option is C

Let's break this problem down step by step:

1. Define Variables:

• Let T be the total number of votes.
• X got 30% of the total votes, so X's votes are 0.30T.
• Y got 25% of the total votes, so Y's votes are 0.25T.
• Z got the remaining votes.

2. Calculate Z's Percentage:

• The total percentage of votes is 100%.
• Z's percentage = 100% - (30% + 25%) = 100% - 55% = 45%.
• Z's votes are 0.45T.

3. Use the Information About Z's Votes:

• Z got 9600 more votes than X.
• Z's votes - X's votes = 9600
• 0.45T - 0.30T = 9600
• 0.15T = 9600

4. Solve for T (Total Votes):

• T = 9600 / 0.15
• T = 9600 / (15/100)
• T = 9600 x (100/15)
• T = (9600 x 100) / 15
• T = 960000 / 15
• T = 64000

5. Calculate Y's Votes:

• Y's votes are 0.25T.
• Y's votes = 0.25 x 64000
• Y's votes = (1/4) x 64000
• Y's votes = 16000

Therefore, Y got 16000 votes.