Divide ₹ 3450 among A, B and C in the ratio 3:5:7.

Answer

To divide ₹ 3450 among A, B, and C in the ratio 3:5:7, we can follow these steps:

### Step 1: Understand the Ratio
The ratio 3:5:7 means that for every 3 parts A gets, B gets 5 parts, and C gets 7 parts.

### Step 2: Calculate the Total Parts
Add the parts of the ratio together:
- Total parts = 3 + 5 + 7 = 15 parts.

### Step 3: Find the Value of One Part
To find the value of one part, divide the total amount of money by the total number of parts:
- Value of one part (x) = Total amount / Total parts
- Value of one part (x) = ₹ 3450 / 15 = ₹ 230.

### Step 4: Calculate Each Person's Share
Now, multiply the value of one part by the number of parts each person gets:
- A's share = 3 parts = 3 * ₹ 230 = ₹ 690.
- B's share = 5 parts = 5 * ₹ 230 = ₹ 1150.
- C's share = 7 parts = 7 * ₹ 230 = ₹ 1610.

### Step 5: Verify the Total
Add A's, B's, and C's shares to ensure they sum up to the total amount:
- Total = ₹ 690 + ₹ 1150 + ₹ 1610 = ₹ 3450.

### Final Shares
- A gets ₹ 690.
- B gets ₹ 1150.
- C gets ₹ 1610.

---