A group of students decided to collect as many paise from each member of group as is the number of members . If the total collection amounts to `Rs. 22.09` , the number of members in the group is

Options

A. 37
B. 47
C. 107
D. 43

Answer

To solve the problem, we need to find the number of members in the group based on the total amount collected. Here’s a step-by-step solution:

### Step 1: Understand the problem
We know that each member of the group contributes an amount equal to the number of members in the group. If we denote the number of members as \( N \), then each member contributes \( N \) paise.

### Step 2: Convert the total amount to paise
The total collection is given as Rs. 22.09. Since 1 Rupee is equal to 100 paise, we convert Rs. 22.09 to paise:
\[ 22.09 \text{ Rs} = 22.09 \times 100 \text{ paise} = 2209 \text{ paise} \]

### Step 3: Set up the equation
The total amount collected can also be expressed as:
\[ \text{Total collection} = N \times N = N^2 \text{ paise} \]
So we can set up the equation:
\[ N^2 = 2209 \]

### Step 4: Solve for \( N \)
To find \( N \), we need to take the square root of both sides:
\[ N = \sqrt{2209} \]

### Step 5: Calculate the square root
Calculating the square root, we find:
\[ N = 47 \]

### Conclusion
Thus, the number of members in the group is \( N = 47 \).

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