An amount of money is to be distributed among P, Q and R in the ratio of 5:9:17 respectively. If the total of the shares of P and Q is Rs.7,000. What is R’s share in it

Options

A. Rs.4,500
B. Rs.2,500
C. Rs.8,500
D. Rs.6,000

Answer

To solve the problem of distributing money among P, Q, and R in the ratio of 5:9:17, we can follow these steps:

### Step 1: Understand the ratio
The ratio of the shares of P, Q, and R is given as 5:9:17. This means:
- P's share = 5 parts
- Q's share = 9 parts
- R's share = 17 parts

### Step 2: Calculate the total parts
Add the parts of P, Q, and R together:
\[ \text{Total parts} = 5 + 9 + 17 = 31 \text{ parts} \]

### Step 3: Find the total share of P and Q
According to the problem, the total share of P and Q is Rs. 7,000. Therefore, we can express this as:
\[ \text{P's share} + \text{Q's share} = 5 + 9 = 14 \text{ parts} \]
So, we have:
\[ 14 \text{ parts} = 7000 \text{ Rs} \]

### Step 4: Calculate the value of one part
To find the value of one part, we divide the total amount for P and Q by the total parts they represent:
\[ \text{Value of one part} = \frac{7000}{14} = 500 \text{ Rs} \]

### Step 5: Calculate R's share
Now that we know the value of one part, we can calculate R's share, which is 17 parts:
\[ \text{R's share} = 17 \text{ parts} \times 500 \text{ Rs/part} = 8500 \text{ Rs} \]

### Conclusion
Thus, R's share is Rs. 8,500.

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