Divide Rs.368 in the ratio 1:5:8:9. The rupees in the respective ratios are given by.

Options

A. 16, 80, 127 & 145
B. 16, 80, 129 & 143
C. 16, 80, 128 & 144
D. 16, 80, 128 & 143

Answer

To divide Rs. 368 in the ratio 1:5:8:9, we can follow these steps:

### Step 1: Determine the total parts in the ratio
First, we need to calculate the total number of parts in the ratio. The ratio is 1:5:8:9.

Total parts = 1 + 5 + 8 + 9 = 23

### Step 2: Calculate the value of one part
Next, we find the value of one part by dividing the total amount (Rs. 368) by the total parts (23).

Value of one part = Total amount / Total parts
Value of one part = 368 / 23 = 16

### Step 3: Calculate the individual shares
Now, we can calculate the individual shares based on the ratio:

- For the first part (1):
Share = 1 part × Value of one part = 1 × 16 = Rs. 16

- For the second part (5):
Share = 5 parts × Value of one part = 5 × 16 = Rs. 80

- For the third part (8):
Share = 8 parts × Value of one part = 8 × 16 = Rs. 128

- For the fourth part (9):
Share = 9 parts × Value of one part = 9 × 16 = Rs. 144

### Step 4: Summarize the results
The final distribution of Rs. 368 in the ratio 1:5:8:9 is:
- First part: Rs. 16
- Second part: Rs. 80
- Third part: Rs. 128
- Fourth part: Rs. 144

### Final Answer:
The rupees in the respective ratios are Rs. 16, Rs. 80, Rs. 128, and Rs. 144.

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