Each member of a party contributed thrice as many rupees as the total number of members and the total collection was Rs 7203. How many members contributed for the party?

Options

A. 49
B. 39
C. 26
D. 46

Answer

To solve the problem, let's denote the number of members in the party as \( n \).

1. **Understanding the Contribution**: Each member contributed thrice the total number of members. Therefore, the contribution of each member can be expressed as:
\[ \text{Contribution of each member} = 3n \]

2. **Total Contribution**: Since there are \( n \) members, the total contribution from all members can be calculated as:
\[ \text{Total Contribution} = n \times \text{Contribution of each member} = n \times 3n = 3n^2 \]

3. **Setting Up the Equation**: According to the problem, the total collection was Rs 7203. Therefore, we can set up the equation:
\[ 3n^2 = 7203 \]

4. **Solving for \( n^2 \)**: To find \( n^2 \), we divide both sides of the equation by 3:
\[ n^2 = \frac{7203}{3} = 2401 \]

5. **Finding \( n \)**: Now, we need to find \( n \) by taking the square root of \( n^2 \):
\[ n = \sqrt{2401} \]

6. **Calculating the Square Root**: The square root of 2401 is 49, so:
\[ n = 49 \]

Thus, the number of members who contributed for the party is **49**.