The ratio of efficiencies of A , B & C is 14:9:7 . A, B and C received total ₹ 27,000 for the whole work. as What is the share of C, if the. money is distributed. in the ratio of amount of work done, individually?

Options

A. 2700
B. 7200
C. 14400
D. 6300

Answer

To find the share of C when the total amount of ₹ 27,000 is distributed according to the efficiencies of A, B, and C, we can follow these steps:

### Step 1: Understand the ratio of efficiencies
The efficiencies of A, B, and C are given as 14:9:7. This means that for every 30 parts of work done, A does 14 parts, B does 9 parts, and C does 7 parts.

### Step 2: Calculate the total parts of work
To find the total parts of work, we add the parts of A, B, and C:
\[ \text{Total parts} = 14 + 9 + 7 = 30 \]

### Step 3: Determine the share of C
C's share in the total work is represented by the 7 parts out of the total 30 parts. Therefore, C's share of the total payment can be calculated as:
\[ \text{C's share} = \frac{\text{C's parts}}{\text{Total parts}} \times \text{Total payment} \]
Substituting the values:
\[ \text{C's share} = \frac{7}{30} \times 27000 \]

### Step 4: Calculate C's share
Now, we perform the calculation:
\[ \text{C's share} = \frac{7 \times 27000}{30} \]
Calculating \( \frac{27000}{30} \):
\[ \frac{27000}{30} = 900 \]
Now multiplying by 7:
\[ \text{C's share} = 7 \times 900 = 6300 \]

### Conclusion
Thus, the share of C is ₹ 6,300.

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