P, Q and R undertook a work for Rs 55000. Together P and Q complete `(8//11)^(th)` part of the work. What is the share (in Rs) of R?

Options

A. 20000
B. 22000
C. 15000
D. 6000

Answer

To find the share of R in the total payment of Rs 55,000 for the work done, we can follow these steps:

### Step 1: Determine the part of the work completed by P and Q.
P and Q together completed \( \frac{8}{11} \) of the total work.

### Step 2: Calculate the remaining part of the work.
The remaining part of the work done by R is:
\[ 1 - \frac{8}{11} = \frac{3}{11} \]

### Step 3: Calculate R's share of the total payment.
Since R completed \( \frac{3}{11} \) of the work, we can find R's share of the total payment of Rs 55,000:
\[ \text{R's share} = \frac{3}{11} \times 55000 \]

### Step 4: Perform the multiplication.
First, divide 55,000 by 11:
\[ 55000 \div 11 = 5000 \]
Now, multiply by 3:
\[ 5000 \times 3 = 15000 \]

### Step 5: Conclusion
Thus, R's share of the payment is Rs 15,000.

### Final Answer:
R's share is Rs 15,000.

---