Rs.385 has been divided among A,B,C in such a way that A receive 2/9th of what B and C together receive then A' share is

Options

A. Rs.70
B. Rs.77
C. Rs.82.50
D. Rs.85

Answer

To solve the problem of how much A receives from the total amount of Rs. 385, we can follow these steps:

### Step 1: Understand the relationship between A, B, and C
According to the problem, A receives \( \frac{2}{9} \) of what B and C together receive. This means we can express A's share in terms of B and C's total share.

### Step 2: Set up the equations
Let the total amount received by B and C together be \( x \). Then, according to the problem:
\[ A = \frac{2}{9}x \]
This implies that:
\[ B + C = x \]

### Step 3: Express the total amount
Since the total amount distributed among A, B, and C is Rs. 385, we can write:
\[ A + B + C = 385 \]
Substituting \( A \) from the previous step:
\[ \frac{2}{9}x + x = 385 \]

### Step 4: Combine the terms
To combine the terms, we need a common denominator:
\[ \frac{2}{9}x + \frac{9}{9}x = 385 \]
This simplifies to:
\[ \frac{11}{9}x = 385 \]

### Step 5: Solve for x
To find \( x \), multiply both sides by \( \frac{9}{11} \):
\[ x = 385 \times \frac{9}{11} \]
Calculating this gives:
\[ x = 35 \times 9 = 315 \]

### Step 6: Find A's share
Now that we have \( x \), we can find A's share:
\[ A = \frac{2}{9}x = \frac{2}{9} \times 315 \]
Calculating this gives:
\[ A = 70 \]

### Final Answer
Thus, A's share is Rs. 70.

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