If A and B shared Rs. 1300 in the ratio 1:12, how much did A get?

Options

A. 120
B. 1200
C. 100
D. 1000

Answer

To solve the problem of how much A received when A and B shared Rs. 1300 in the ratio of 1:12, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of A to B is given as 1:12. This means for every 1 part that A receives, B receives 12 parts.

2. **Define the Parts**: Let the amount A receives be represented as \(1x\) and the amount B receives as \(12x\). Here, \(x\) is a common multiplier.

3. **Set Up the Equation**: Since A and B together share Rs. 1300, we can write the equation:
\[ 1x + 12x = 1300 \]

4. **Combine Like Terms**: Combine the terms on the left side:
\[ 13x = 1300 \]

5. **Solve for x**: To find the value of \(x\), divide both sides of the equation by 13:
\[ x = \frac{1300}{13} \]
\[ x = 100 \]

6. **Calculate A's Share**: Now that we have the value of \(x\), we can find A's share:
\[ A's \, share = 1x = 1 \times 100 = 100 \]

7. **Conclusion**: Therefore, A received Rs. 100.