A sum of money is to be distributed among A, B, C, D in the proportion of `5 : 2 : 4 : 3`. If C gets Rs. `1.0` more than D, what is B's share?

Options

A. Rs 5
B. Rs. 15
C. Rs. `2.0`
D. None of these

Answer

To solve the problem step by step, let's follow the given information and the ratios provided:

### Step 1: Understand the Ratios
The money is to be distributed among A, B, C, and D in the ratio of 5:2:4:3. This means:
- A's share = 5x
- B's share = 2x
- C's share = 4x
- D's share = 3x

### Step 2: Set Up the Equation
According to the problem, C gets Rs. 1 more than D. We can express this relationship mathematically:
\[ C = D + 1 \]
Substituting the values from the ratios:
\[ 4x = 3x + 1 \]

### Step 3: Solve the Equation
Now, we will solve the equation for x:
1. Subtract \(3x\) from both sides:
\[ 4x - 3x = 1 \]
2. This simplifies to:
\[ x = 1 \]

### Step 4: Calculate B's Share
Now that we have the value of x, we can find B's share:
\[ B's \, share = 2x = 2 \times 1 = 2 \]

### Conclusion
Thus, B's share is Rs. 2.

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