Divide `"Rs. 1400` among `A, B` and `C` in the ratio `2:3:5`.

Options

A. `"Rs.290, Rs. 420, Rs. 700"`
B. `"Rs.100, Rs. 420, Rs. 700"`
C. `"Rs.280, Rs. 420, Rs. 700"`
D. `"Rs.180, Rs. 400, Rs. 700"`

Answer

To divide Rs. 1400 among A, B, and C in the ratio of 2:3:5, we can follow these steps:

### Step 1: Understand the Ratio
The ratio given is 2:3:5. This means that for every 2 parts A receives, B receives 3 parts, and C receives 5 parts.

### Step 2: Calculate the Total Parts in the Ratio
Add the parts of the ratio together:
- A's part = 2
- B's part = 3
- C's part = 5

Total parts = 2 + 3 + 5 = 10 parts

### Step 3: Find the Value of One Part
Now, we need to find the value of one part. To do this, divide the total amount (Rs. 1400) by the total number of parts (10):
\[ \text{Value of one part} = \frac{1400}{10} = 140 \]

### Step 4: Calculate the Amount for Each Person
Now, we can calculate how much each person gets by multiplying the value of one part by the number of parts each person has:

- Amount for A:
\[ \text{Amount for A} = 2 \times 140 = 280 \]

- Amount for B:
\[ \text{Amount for B} = 3 \times 140 = 420 \]

- Amount for C:
\[ \text{Amount for C} = 5 \times 140 = 700 \]

### Step 5: Final Distribution
Thus, the final distribution of the Rs. 1400 is:
- A receives Rs. 280
- B receives Rs. 420
- C receives Rs. 700

### Summary of Distribution
- A: Rs. 280
- B: Rs. 420
- C: Rs. 700

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