The average monthly income of a four members of a family is Rs 610.25, after the marriage of one girl the average income of the family becomes Rs 650.75 then the salary of married girl is

Options

A. Rs 488.25
B. Rs 488.75
C. Rs 479.75
D. Rs 489.25

Answer

To solve the problem step by step, we will follow the given information and perform the necessary calculations.

### Step 1: Calculate the total income of the initial 4 members of the family.
Given that the average monthly income of the 4 members is Rs. 610.25, we can calculate the total income by multiplying the average by the number of members.

\[ \text{Total income of 4 members} = \text{Average income} \times \text{Number of members} = 610.25 \times 4 \]

Calculating this gives:

\[ \text{Total income of 4 members} = 2441 \]

### Step 2: Calculate the total income of the family after the marriage of the girl.
After the marriage of the girl, the average income of the family becomes Rs. 650.75. Now, the family consists of 5 members (4 original members + 1 married girl).

\[ \text{Total income of 5 members} = \text{Average income} \times \text{Number of members} = 650.75 \times 5 \]

Calculating this gives:

\[ \text{Total income of 5 members} = 3253.75 \]

### Step 3: Find the salary of the married girl.
To find the salary of the married girl, we need to subtract the total income of the original 4 members from the total income of the 5 members.

\[ \text{Salary of married girl} = \text{Total income of 5 members} - \text{Total income of 4 members} \]

Substituting the values we calculated:

\[ \text{Salary of married girl} = 3253.75 - 2441 \]

Calculating this gives:

\[ \text{Salary of married girl} = 812.75 \]

### Final Answer:
The salary of the married girl is Rs. 812.75.

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