Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (inRs) of B?

Options

A. 3300
B. 2700
C. 3000
D. 4200

Answer

To solve the problem of dividing Rs 6300 among A, B, and C in the ratio of \( \frac{1}{2} : 1 : \frac{3}{5} \), we can follow these steps:

### Step 1: Convert the ratios to a common format
The given ratios are:
- A: \( \frac{1}{2} \)
- B: \( 1 \)
- C: \( \frac{3}{5} \)

To work with these ratios more easily, we can convert them into fractions with a common denominator. The least common multiple (LCM) of the denominators (2 and 5) is 10.

- A: \( \frac{1}{2} = \frac{5}{10} \)
- B: \( 1 = \frac{10}{10} \)
- C: \( \frac{3}{5} = \frac{6}{10} \)

### Step 2: Write the ratios in a simpler form
Now we can express the ratios as:
- A : B : C = \( 5 : 10 : 6 \)

### Step 3: Calculate the total parts in the ratio
Now, we need to find the total number of parts in the ratio:
- Total parts = \( 5 + 10 + 6 = 21 \)

### Step 4: Calculate the value of each part
To find the value of each part, we divide the total amount Rs 6300 by the total number of parts:
- Value of each part = \( \frac{6300}{21} = 300 \)

### Step 5: Calculate B's share
Now, to find B's share, we multiply the number of parts for B by the value of each part:
- B's share = \( 10 \times 300 = 3000 \)

### Final Answer
Thus, the share of B is Rs 3000.

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