A sum of money is divided among A, B. C and D in the proportion of `7 : 6 : 3 : 5`. If B gets Rs 270 more than C, then share of D is

Options

A. Rs 250
B. Rs 350
C. Rs 450
D. Rs 455

Answer

To solve the problem, we need to follow these steps:

### Step 1: Understand the ratio
The money is divided among A, B, C, and D in the ratio of 7:6:3:5. This means:
- A's share = 7x
- B's share = 6x
- C's share = 3x
- D's share = 5x

### Step 2: Set up the equation based on the information given
We know that B gets Rs 270 more than C. Therefore, we can write the equation:
\[ B - C = 270 \]
Substituting the values from the ratio:
\[ 6x - 3x = 270 \]

### Step 3: Simplify the equation
Now, simplify the equation:
\[ 3x = 270 \]

### Step 4: Solve for x
To find the value of x, divide both sides by 3:
\[ x = \frac{270}{3} = 90 \]

### Step 5: Calculate the share of D
Now that we have the value of x, we can find D's share:
\[ D's \, share = 5x = 5 \times 90 = 450 \]

### Final Answer
The share of D is Rs 450.

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