If Rs. 1000 is divided between A and B in the ratio 3:2, then A will receive

Options

A. Rs. 400
B. Rs. 500
C. Rs. 600
D. Rs. 800

Answer

To solve the problem of dividing Rs. 1000 between A and B in the ratio of 3:2, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of A to B is given as 3:2. This means that for every 3 parts A gets, B gets 2 parts.

2. **Calculate the Total Parts**: Add the parts of the ratio together:
\[ 3 + 2 = 5 \text{ parts} \]

3. **Determine the Value of Each Part**: Since the total amount to be divided is Rs. 1000, we can find the value of one part by dividing the total amount by the total number of parts:
\[ \text{Value of one part} = \frac{1000}{5} = 200 \text{ Rs.} \]

4. **Calculate A's Share**: Now, to find out how much A will receive, multiply the value of one part by A's share in the ratio:
\[ A's \text{ share} = 3 \times 200 = 600 \text{ Rs.} \]

5. **Conclusion**: Therefore, A will receive Rs. 600.

### Final Answer:
A will receive Rs. 600.