A profit of Rs 6000 is be distributed among A, B and C in the ratio 3: 4:5 respectively. How much more will C get than B?

Options

A. Rs 500
B. Rs 1200
C. Rs 2000
D. Rs 2500

Answer

To solve the problem of how much more C will get than B from a profit of Rs 6000 distributed in the ratio of 3:4:5, we can follow these steps:

### Step 1: Understand the Ratio
The ratio of the profits for A, B, and C is given as 3:4:5. This means:
- A's share = 3 parts
- B's share = 4 parts
- C's share = 5 parts

### Step 2: Calculate the Total Parts in the Ratio
To find the total number of parts in the ratio, we add the parts together:
\[ 3 + 4 + 5 = 12 \text{ parts} \]

### Step 3: Calculate the Value of Each Part
Now, we need to find the value of one part. We do this by dividing the total profit by the total number of parts:
\[ \text{Value of one part} = \frac{6000}{12} = 500 \]

### Step 4: Calculate B's Share
B's share corresponds to 4 parts, so we multiply the value of one part by the number of parts for B:
\[ \text{B's share} = 4 \times 500 = 2000 \]

### Step 5: Calculate C's Share
C's share corresponds to 5 parts, so we multiply the value of one part by the number of parts for C:
\[ \text{C's share} = 5 \times 500 = 2500 \]

### Step 6: Find the Difference Between C's and B's Share
To find out how much more C gets than B, we subtract B's share from C's share:
\[ \text{Difference} = C's \text{ share} - B's \text{ share} = 2500 - 2000 = 500 \]

### Final Answer
C will get Rs 500 more than B.

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