Divide Rs. 3200 among P,Q,R in the ratio 5:2:9 . Find the amount received by Q.

Answer

To solve the problem of dividing Rs. 3200 among P, Q, and R in the ratio of 5:2:9, we can follow these steps:

### Step 1: Understand the Ratio
The ratio of P, Q, and R is given as 5:2:9. This means:
- P gets 5 parts,
- Q gets 2 parts,
- R gets 9 parts.

### Step 2: Calculate the Total Parts
To find the total number of parts, we add the parts of P, Q, and R together:
\[ \text{Total parts} = 5 + 2 + 9 = 16 \text{ parts} \]

### Step 3: Determine the Value of One Part
We know the total amount to be divided is Rs. 3200. To find the value of one part, we divide the total amount by the total number of parts:
\[ \text{Value of one part} = \frac{3200}{16} = 200 \text{ Rs.} \]

### Step 4: Calculate the Amount Received by Q
Since Q receives 2 parts, we can find the amount received by Q by multiplying the value of one part by the number of parts Q receives:
\[ \text{Amount received by Q} = 2 \times 200 = 400 \text{ Rs.} \]

### Final Answer
The amount received by Q is Rs. 400.

---