The average monthly income of 4 earning members of a family is ? 7350. One member passes away andthe average monthly income becomes ?6500.What wasthe monthly income ofthe person,whoisno more?

Options

A. ?6928
B. ?8200
C. ?9900
D. ? 13850

Answer

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

### Step 1: Calculate the total income of the 4 members.
Given that the average monthly income of 4 members is ₹7350, we can find the total income by multiplying the average by the number of members.

\[ \text{Total Income of 4 members} = \text{Average} \times \text{Number of Members} = 7350 \times 4 \]

Calculating this gives:

\[ 7350 \times 4 = 29400 \]

### Step 2: Calculate the total income of the remaining 3 members after one member passes away.
After one member passes away, the average monthly income of the remaining 3 members becomes ₹6500. We can find their total income similarly:

\[ \text{Total Income of 3 members} = \text{Average} \times \text{Number of Members} = 6500 \times 3 \]

Calculating this gives:

\[ 6500 \times 3 = 19500 \]

### Step 3: Find the income of the deceased member.
Let’s denote the income of the member who passed away as \( D \). We know from the total incomes calculated in Steps 1 and 2:

\[ \text{Total Income of 4 members} - \text{Total Income of 3 members} = D \]

Substituting the values we calculated:

\[ 29400 - 19500 = D \]

Calculating this gives:

\[ D = 9900 \]

### Conclusion
The monthly income of the member who is no more is ₹9900.

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