Average income of 'A' and 'B' is Rs 200 and average Income of 'C' and 'D' is Rs 250. The average income of A B, C and D is:

Options

A. Rs 106.25
B. Rs 125
C. Rs 200
D. Rs 225

Answer

To find the average income of A, B, C, and D, we can follow these steps:

### Step 1: Calculate the total income of A and B
Given that the average income of A and B is Rs 200, we can use the formula for average:

\[ \text{Average} = \frac{A + B}{2} \]

From this, we can derive:

\[ A + B = \text{Average} \times 2 = 200 \times 2 = 400 \]

### Step 2: Calculate the total income of C and D
Similarly, we are given that the average income of C and D is Rs 250. Using the same formula for average:

\[ \text{Average} = \frac{C + D}{2} \]

We can derive:

\[ C + D = \text{Average} \times 2 = 250 \times 2 = 500 \]

### Step 3: Calculate the total income of A, B, C, and D
Now, we can find the total income of A, B, C, and D by adding the totals we calculated in Steps 1 and 2:

\[ A + B + C + D = (A + B) + (C + D) = 400 + 500 = 900 \]

### Step 4: Calculate the average income of A, B, C, and D
To find the average income of A, B, C, and D, we use the formula for average again:

\[ \text{Average} = \frac{A + B + C + D}{4} \]

Substituting the total income we found in Step 3:

\[ \text{Average} = \frac{900}{4} = 225 \]

### Final Answer
The average income of A, B, C, and D is Rs 225.

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