Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was Rs 3042. The number of members present in the party was

Options

A. 2
B. 32
C. 40
D. 39

Answer

To solve the problem, we need to find the number of members in the picnic party based on the information given about their contributions.

### Step-by-Step Solution:

1. **Define Variables**:
Let \( x \) be the number of members in the picnic party.

2. **Contribution Calculation**:
Each member contributed twice as many rupees as the total number of members. Therefore, the contribution from each member can be expressed as:
\[ \text{Contribution per member} = 2x \]

3. **Total Contribution**:
Since there are \( x \) members, the total contribution from all members is:
\[ \text{Total Contribution} = x \times \text{Contribution per member} = x \times 2x = 2x^2 \]

4. **Set Up the Equation**:
We know from the problem that the total collection was Rs 3042. Therefore, we can set up the equation:
\[ 2x^2 = 3042 \]

5. **Solve for \( x^2 \)**:
To isolate \( x^2 \), divide both sides of the equation by 2:
\[ x^2 = \frac{3042}{2} = 1521 \]

6. **Take the Square Root**:
Now, take the square root of both sides to find \( x \):
\[ x = \sqrt{1521} \]

7. **Calculate \( x \)**:
The square root of 1521 is 39, so:
\[ x = 39 \]

8. **Conclusion**:
Therefore, the number of members present in the picnic party is:
\[ \boxed{39} \]