Distribute Rs.520/- between A, B and C in the ratio 12 : 13 : 14 21​  :  31​  :  41​  .Find the amount given to C (in Rs.)

1. Break Down the Problem

We need to distribute Rs. 520 among A, B, and C in the given ratio of 12:13:14. To find out how much is given to C, we will first calculate the total parts involved in the ratio and then determine C's share.

2. Relevant Concepts

The sum of parts in the ratio gives us the total number of parts to distribute. Here, the parts for each person are:

• A = 12 parts
• B = 13 parts
• C = 14 parts

Hence, total parts = 12 + 13 + 14.

3. Analysis and Detail

1. Calculate the total parts: $\text{Total parts} = 12 + 13 + 14 = 39$

2. Calculate the value of one part: $\text{Value of one part} = \frac{520}{39} \approx 13.33$

3. Determine C's amount: $\text{C's Amount} = 14 \times \text{Value of one part} = 14 \times 13.33 \approx 186.67$

4. Verify and Summarize

Calculating C's share using the value of one part confirms the amount:

$\text{C's Amount} = 14 \times 13.33 = 186.67 \text{ (approximately)}$

Final Answer

C receives approximately Rs. 186.67.