Rs 9000 is divided among P, Q and R in the ratio of 5 : 6 : 7. What is the share (in Rs) of R?

Options

A. 2500
B. 3500
C. 3000
D. 4000

Answer

To find the share of R when Rs 9000 is divided among P, Q, and R in the ratio of 5:6:7, we can follow these steps:

### Step 1: Understand the ratio
The ratio of P, Q, and R is given as 5:6:7. This means that for every 5 parts P receives, Q receives 6 parts, and R receives 7 parts.

### Step 2: Calculate the total parts in the ratio
To find the total number of parts, we add the parts of P, Q, and R together:
\[ 5 + 6 + 7 = 18 \]
So, the total number of parts is 18.

### Step 3: Determine R's share in terms of parts
R's share is represented by the 7 parts in the ratio. Therefore, R's share can be expressed as:
\[ \text{R's share} = \frac{7}{18} \text{ of the total amount} \]

### Step 4: Calculate R's share in rupees
Now, we need to calculate R's share in rupees from the total amount of Rs 9000:
\[ \text{R's share} = \frac{7}{18} \times 9000 \]

### Step 5: Perform the multiplication
To simplify the calculation:
1. First, divide 9000 by 18:
\[ 9000 \div 18 = 500 \]
2. Now, multiply by 7:
\[ 500 \times 7 = 3500 \]

### Conclusion
Thus, R's share is Rs 3500.

### Final Answer
R's share is Rs 3500.

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