Rs. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs. 1000 more than Kiran and Jenifer gets Rs. 500 more than Kiran. Find the money received by Jenifer.

Options

A. `4000`
B. `3500`
C. `5000`
D. `4500`

Answer

To solve the problem of distributing Rs. 13,500 among Salma, Kiran, and Jenifer based on the given conditions, we can follow these steps:

### Step 1: Define the Variables
Let the amount Kiran receives be represented by \( X \).

### Step 2: Express the Amounts for Salma and Jenifer
According to the problem:
- Salma receives Rs. 1000 more than Kiran, so Salma's amount is \( X + 1000 \).
- Jenifer receives Rs. 500 more than Kiran, so Jenifer's amount is \( X + 500 \).

### Step 3: Set Up the Equation
The total amount distributed among Salma, Kiran, and Jenifer is Rs. 13,500. Therefore, we can write the equation as:
\[ X + (X + 1000) + (X + 500) = 13500 \]

### Step 4: Simplify the Equation
Combine like terms in the equation:
\[ X + X + 1000 + X + 500 = 13500 \]
This simplifies to:
\[ 3X + 1500 = 13500 \]

### Step 5: Isolate the Variable
Now, subtract 1500 from both sides of the equation:
\[ 3X = 13500 - 1500 \]
\[ 3X = 12000 \]

### Step 6: Solve for \( X \)
Divide both sides by 3 to find the value of \( X \):
\[ X = \frac{12000}{3} \]
\[ X = 4000 \]

### Step 7: Find the Amounts Received by Each Person
Now that we know Kiran receives Rs. 4000:
- Salma receives \( X + 1000 = 4000 + 1000 = 5000 \).
- Jenifer receives \( X + 500 = 4000 + 500 = 4500 \).

### Step 8: Conclusion
Thus, the amount received by Jenifer is Rs. 4500.