A society collected Rs72.25. If each member of the society collected as many paise as there were members. then how much did each contribute?

Options

A. Rs 8.50
B. 75 paise
C. Rs 75
D. 85 paise

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the problem
The total amount collected by the society is Rs 72.25. We need to find out how much each member contributed if each member collected as many paise as there were members.

### Step 2: Convert the total amount into paise
Since 1 rupee is equal to 100 paise, we can convert Rs 72.25 into paise:
\[ 72.25 \text{ rupees} = 72.25 \times 100 \text{ paise} = 7225 \text{ paise} \]

### Step 3: Let the number of members be \( x \)
Assume the number of members in the society is \( x \). According to the problem, each member collected \( x \) paise.

### Step 4: Set up the equation
Since there are \( x \) members and each collected \( x \) paise, the total amount collected can be expressed as:
\[ \text{Total amount} = x \times x = x^2 \text{ paise} \]
We know from Step 2 that the total amount collected is 7225 paise. Therefore, we can write the equation:
\[ x^2 = 7225 \]

### Step 5: Solve for \( x \)
To find \( x \), we take the square root of both sides:
\[ x = \sqrt{7225} \]

Calculating the square root:
\[ x = 85 \]

### Step 6: Find the contribution per member
Since each member contributed \( x \) paise, and we found \( x = 85 \), each member contributed:
\[ \text{Contribution per member} = 85 \text{ paise} \]

### Step 7: Convert the contribution back to rupees
To express the contribution in rupees, we convert paise back to rupees:
\[ 85 \text{ paise} = \frac{85}{100} \text{ rupees} = 0.85 \text{ rupees} \]

### Final Answer
Each member contributed Rs 0.85.

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