Divide Rs. 130 in the ratio 3:6:8:9. The rupees in the respective ratios are given by :

Options

A. 15, 30, 41 & 44
B. 15, 30, 40 & 45
C. 15, 30, 39 & 46
D. 15, 31, 39 & 45

Answer

To solve the problem of dividing Rs. 130 in the ratio of 3:6:8:9, we can follow these steps:

### Step 1: Understand the Ratio
The given ratio is 3:6:8:9. This means that for every 3 parts, there are 6 parts, 8 parts, and 9 parts respectively.

### Step 2: Calculate the Total Parts in the Ratio
Add the parts of the ratio together:
\[ 3 + 6 + 8 + 9 = 26 \]
So, the total number of parts is 26.

### Step 3: Calculate the Value of Each Part
To find the value of one part, divide the total amount (Rs. 130) by the total parts (26):
\[ \text{Value of one part} = \frac{130}{26} = 5 \]

### Step 4: Calculate the Amount for Each Ratio
Now, multiply the value of one part by each part of the ratio to find out how much each person gets:
- For 3 parts:
\[ 3 \times 5 = 15 \]
- For 6 parts:
\[ 6 \times 5 = 30 \]
- For 8 parts:
\[ 8 \times 5 = 40 \]
- For 9 parts:
\[ 9 \times 5 = 45 \]

### Step 5: Summarize the Results
The amounts distributed in the ratio 3:6:8:9 are:
- First person: Rs. 15
- Second person: Rs. 30
- Third person: Rs. 40
- Fourth person: Rs. 45

### Final Answer
The rupees in the respective ratios are Rs. 15, Rs. 30, Rs. 40, and Rs. 45.

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