Out of the 20,000 candidates are eligible for election post 500 candidates are eligible for MP post 20% of the total number of candidates are eligible for PM post 15% of the total number of candidates eligible for CM post 25% of the total number of candidates eligible for Chief post 3500 candidates have worked experience in rural areas are eligible for MLA post 10% of the total number of candidates are eligible for secreatry of PM and remaining candidates are eligible for the post of Election Commission Member.
What is the difference between the candidates of PM and election commission member ?

Options

A. 3500
B. 3000
C. 2000
D. 2500

Answer

To solve the problem step by step, we need to calculate the number of candidates eligible for each post and then find the difference between the candidates eligible for the PM post and the Election Commission Member post.

### Step 1: Write down the total number of candidates.
Total candidates = 20,000

### Step 2: Calculate the number of candidates eligible for the MP post.
Given: Candidates eligible for MP post = 500

### Step 3: Calculate the number of candidates eligible for the PM post.
To find 20% of the total candidates:
\[ \text{Candidates for PM} = 20\% \times 20000 = \frac{20}{100} \times 20000 = 4000 \]

### Step 4: Calculate the number of candidates eligible for the CM post.
To find 15% of the total candidates:
\[ \text{Candidates for CM} = 15\% \times 20000 = \frac{15}{100} \times 20000 = 3000 \]

### Step 5: Calculate the number of candidates eligible for the Chief post.
To find 25% of the total candidates:
\[ \text{Candidates for Chief} = 25\% \times 20000 = \frac{25}{100} \times 20000 = 5000 \]

### Step 6: Calculate the number of candidates eligible for the MLA post.
Given: Candidates with work experience in rural areas eligible for MLA post = 3500

### Step 7: Calculate the number of candidates eligible for the Secretary of PM post.
To find 10% of the total candidates:
\[ \text{Candidates for Secretary of PM} = 10\% \times 20000 = \frac{10}{100} \times 20000 = 2000 \]

### Step 8: Calculate the total number of candidates that have been accounted for.
Now, we sum the candidates eligible for each post:
- MP: 500
- PM: 4000
- CM: 3000
- Chief: 5000
- MLA: 3500
- Secretary of PM: 2000

Total accounted candidates:
\[ 500 + 4000 + 3000 + 5000 + 3500 + 2000 = 18000 \]

### Step 9: Calculate the number of candidates eligible for the Election Commission Member post.
Remaining candidates:
\[ \text{Candidates for Election Commission Member} = 20000 - 18000 = 2000 \]

### Step 10: Find the difference between the candidates eligible for PM and Election Commission Member.
Difference:
\[ \text{Difference} = \text{Candidates for PM} - \text{Candidates for Election Commission Member} \]
\[ = 4000 - 2000 = 2000 \]

### Final Answer:
The difference between the candidates eligible for PM and the Election Commission Member is **2000**.

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