P, Q and R enter into a contract for a piece of work for Rs. 1100. P and Q together are supposed to do 7/22 of the work. How much does R get?

Options

A. X 750
B. X 350
C. X 4751
D. X 900

Answer

To find out how much R gets from the total contract amount of Rs. 1100, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Contract Amount**:
The total amount for the work is Rs. 1100.

2. **Determine the Work Done by P and Q**:
P and Q together are supposed to do \( \frac{7}{22} \) of the work.

3. **Calculate the Share of P and Q**:
To find out how much money P and Q will receive, we calculate their share from the total amount:
\[ \text{Share of P and Q} = \text{Total Amount} \times \text{Fraction of Work Done by P and Q} \]
\[ \text{Share of P and Q} = 1100 \times \frac{7}{22} \]

4. **Simplify the Calculation**:
First, simplify \( \frac{7}{22} \):
\[ \frac{7}{22} = 0.3181 \text{ (approximately)} \]
Now, calculate:
\[ 1100 \times \frac{7}{22} = 1100 \times 0.3181 \approx 350 \]

5. **Calculate R's Share**:
To find out how much R gets, subtract the share of P and Q from the total amount:
\[ \text{Share of R} = \text{Total Amount} - \text{Share of P and Q} \]
\[ \text{Share of R} = 1100 - 350 = 750 \]

### Final Answer:
R gets Rs. 750.

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