A sum of money is distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets rs.2000 more than D, what is B's share?

Options

A. a. 1000
B. b. 3000
C. c. 4000
D. d. 4800

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Ratio
The shares of A, B, C, and D are given in the ratio of 5:2:4:3. This means:
- A's share = 5 parts
- B's share = 2 parts
- C's share = 4 parts
- D's share = 3 parts

### Step 2: Set Up the Equation Based on the Given Information
We know that C gets Rs. 2000 more than D. Therefore, we can express this relationship mathematically:
\[ C - D = 2000 \]

### Step 3: Substitute the Values from the Ratio
From the ratio, we can express C and D in terms of their parts:
- C = 4x (where x is the common multiplier)
- D = 3x

Now substitute these into the equation:
\[ 4x - 3x = 2000 \]

### Step 4: Solve for x
This simplifies to:
\[ x = 2000 \]

### Step 5: Calculate B's Share
Now that we have the value of x, we can find B's share:
- B's share = 2 parts = 2x
\[ B's\ share = 2 \times 2000 = 4000 \]

### Final Answer
Thus, B's share is Rs. 4000.

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