There are two candidates Bhiku and Mhatre for an election. Bhiku gets 65% of the total valid votes. If the total votes were 6000, what is the number of valid votes that the other candidate Mhatre gets, if 25% of the total votes were declared invalid?

Options

A. 1575
B. 1625
C. 1675
D. 1525

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the number of invalid votes
First, we need to find out how many votes were declared invalid. We know that 25% of the total votes were invalid.

Total votes = 6000

Invalid votes = 25% of 6000
\[ \text{Invalid votes} = \frac{25}{100} \times 6000 = 1500 \]

### Step 2: Calculate the number of valid votes
Next, we will calculate the number of valid votes by subtracting the invalid votes from the total votes.

Valid votes = Total votes - Invalid votes
\[ \text{Valid votes} = 6000 - 1500 = 4500 \]

### Step 3: Calculate the number of votes Bhiku received
Bhiku received 65% of the valid votes. We will calculate how many votes that is.

Votes for Bhiku = 65% of valid votes
\[ \text{Votes for Bhiku} = \frac{65}{100} \times 4500 = 2925 \]

### Step 4: Calculate the number of votes Mhatre received
Since there are only two candidates, Mhatre will receive the remaining votes. Therefore, we can find Mhatre's votes by calculating the remaining percentage of valid votes.

Mhatre's votes = 100% - 65% = 35% of valid votes
\[ \text{Votes for Mhatre} = \frac{35}{100} \times 4500 = 1575 \]

### Final Answer
Mhatre receives **1575 valid votes**.

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