Each member of club contributes as much as rupees and as much as paisa as the number of members of the club. If the total contribution is Rs 3636 then the number of members of club is?

Options

A. 60
B. 45
C. 55
D. 50

Answer

To solve the problem step by step, we will follow the reasoning provided in the video transcript.

### Step-by-Step Solution:

1. **Define Variables**:
Let the number of members in the club be \( n \). According to the problem, each member contributes as much in rupees as the number of members, which means each member contributes \( n \) rupees and \( n \) paisa.

2. **Convert Paisa to Rupees**:
Since there are 100 paisa in 1 rupee, the contribution of each member in rupees can be expressed as:
\[ \text{Contribution per member} = n + \frac{n}{100} = n \left(1 + \frac{1}{100}\right) = n \cdot \frac{101}{100} \]

3. **Total Contribution**:
The total contribution from all members can be calculated as:
\[ \text{Total Contribution} = n \cdot \frac{101}{100} \cdot n = \frac{101n^2}{100} \]

4. **Set Up the Equation**:
We know the total contribution is Rs 3636. Therefore, we can set up the equation:
\[ \frac{101n^2}{100} = 3636 \]

5. **Solve for \( n^2 \)**:
To eliminate the fraction, multiply both sides by 100:
\[ 101n^2 = 363600 \]
Now, divide both sides by 101:
\[ n^2 = \frac{363600}{101} \]

6. **Calculate \( n^2 \)**:
Performing the division:
\[ n^2 = 3600 \]

7. **Find \( n \)**:
Taking the square root of both sides gives:
\[ n = \sqrt{3600} = 60 \]

8. **Conclusion**:
Therefore, the number of members in the club is \( n = 60 \).

### Final Answer:
The number of members in the club is **60**.