Divide Rs 340 in the ratio 5:6:6.

Answer

To divide Rs 340 in the ratio 5:6:6, follow these steps:

### Step 1: Understand the Ratio
The ratio 5:6:6 means that for every 5 parts of the first quantity, there are 6 parts of the second quantity and 6 parts of the third quantity.

### Step 2: Calculate the Total Parts
Add the parts of the ratio together:
\[ 5 + 6 + 6 = 17 \]
So, there are a total of 17 parts.

### Step 3: Determine the Value of One Part
To find the value of one part, divide the total amount (Rs 340) by the total number of parts (17):
\[ \text{Value of one part} = \frac{340}{17} = 20 \]

### Step 4: Calculate Each Share
Now, multiply the value of one part by the number of parts for each share:
- First share (5 parts):
\[ 5 \times 20 = 100 \]
- Second share (6 parts):
\[ 6 \times 20 = 120 \]
- Third share (6 parts):
\[ 6 \times 20 = 120 \]

### Step 5: Write the Final Shares
The final shares in the ratio 5:6:6 are:
- First share: Rs 100
- Second share: Rs 120
- Third share: Rs 120

### Summary
Thus, Rs 340 divided in the ratio 5:6:6 results in:
- First person receives Rs 100
- Second person receives Rs 120
- Third person receives Rs 120

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