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.
The candidates who have experience of working in rural areas is what percent of Chief posts ?

Options

A. 70
B. 75
C. 80
D. 60

Answer

To solve the problem step by step, we will calculate the number of candidates eligible for each post and then determine what percentage the candidates with rural work experience represent in relation to the Chief post.

### Step 1: Determine the total number of candidates
The total number of candidates is given as 20,000.

### Step 2: Calculate the number of candidates eligible for each post
1. **MP Post**:
- Number of candidates eligible = 500

2. **PM Post**:
- 20% of total candidates = 20% of 20,000
- Calculation: \( 0.20 \times 20,000 = 4,000 \)

3. **CM Post**:
- 15% of total candidates = 15% of 20,000
- Calculation: \( 0.15 \times 20,000 = 3,000 \)

4. **Chief Post**:
- 25% of total candidates = 25% of 20,000
- Calculation: \( 0.25 \times 20,000 = 5,000 \)

5. **MLA Post**:
- Number of candidates with rural work experience = 3,500

6. **Secretary of PM**:
- 10% of total candidates = 10% of 20,000
- Calculation: \( 0.10 \times 20,000 = 2,000 \)

7. **Election Commission Member**:
- Remaining candidates = Total candidates - (MP + PM + CM + Chief + MLA + Secretary)
- Calculation:
\[ 20,000 - (500 + 4,000 + 3,000 + 5,000 + 3,500 + 2,000) = 20,000 - 18,000 = 2,000 \]

### Step 3: Calculate the percentage of candidates with rural work experience in relation to the Chief post
- Candidates with rural work experience (MLA) = 3,500
- Candidates eligible for Chief post = 5,000

To find the percentage:
\[ \text{Percentage} = \left( \frac{\text{Candidates with rural experience}}{\text{Candidates for Chief post}} \right) \times 100 \]
\[ \text{Percentage} = \left( \frac{3,500}{5,000} \right) \times 100 \]
\[ \text{Percentage} = 0.70 \times 100 = 70\% \]

### Final Answer
The candidates who have experience of working in rural areas represent **70%** of the candidates eligible for the Chief post.

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