Ajeet has Rs. 26/- more than Anuj . Anui has Rs 60/- more than Ravi. If total amount with all the all the three is Rs. 200/-, What is Anuj's amount ·

Options

A. Rs. 70/-
B. Rs. 72/-
C. Rs75/-
D. None of these

Answer

To solve the problem step by step, we will define variables for the amounts each person has and set up equations based on the information given.

1. **Define Variables:**
- Let Ravi's amount be \( R \).
- Since Anuj has Rs. 60 more than Ravi, we can express Anuj's amount as:
\[ A = R + 60 \]
- Ajeet has Rs. 26 more than Anuj, so we can express Ajeet's amount as:
\[ J = A + 26 = (R + 60) + 26 = R + 86 \]

2. **Set Up the Total Amount Equation:**
- The total amount with all three (Ravi, Anuj, and Ajeet) is Rs. 200. Therefore, we can write the equation:
\[ R + A + J = 200 \]
- Substituting the expressions for \( A \) and \( J \) into the equation gives:
\[ R + (R + 60) + (R + 86) = 200 \]

3. **Combine Like Terms:**
- Simplifying the left side of the equation:
\[ R + R + 60 + R + 86 = 200 \]
\[ 3R + 146 = 200 \]

4. **Solve for Ravi's Amount:**
- Now, isolate \( R \) by subtracting 146 from both sides:
\[ 3R = 200 - 146 \]
\[ 3R = 54 \]
- Dividing both sides by 3 gives:
\[ R = 18 \]

5. **Find Anuj's Amount:**
- Now that we have Ravi's amount, we can find Anuj's amount using the equation \( A = R + 60 \):
\[ A = 18 + 60 = 78 \]

6. **Conclusion:**
- Anuj's amount is Rs. 78.