Determining the Exam Score for Mohan

In the context of this examination, various students scored different marks with distinct performances. Let's delve into the details to calculate Mohan's score. Initially, we have Rakesh, Radhika, and Mohan, each with unique scores.

Understanding the Scores

Rakesh scored 52 marks and failed by 23 marks. Radhika scored 64 marks and obtained 34 marks more than the passing score. We begin by finding the passing score first before determining Mohan's score.

Step-by-Step Calculation

Define the Total Marks (T): Let the total marks be T. Rakesh's Score and Passing Marks: Rakesh's score is 52, and he failed by 23 marks. This translates to Rakesh's score being expressed as: T * 0.52. Therefore, the passing marks (P) can be calculated as: P 0.52T - 23. Radhika's Score and Passing Marks: Radhika's score is 64, and she scored 34 marks more than the passing marks. This can be calculated as: 0.64T P 34. Setting Up and Solving the Equations: We now have two equations: P 0.52T - 23 0.64T P 34 By substituting the first equation into the second, we get: 0.64T 0.52T - 23 34 Further simplification yields: 0.64T - 0.52T 11 0.12T 11 T 11 / 0.12 475 Calculating the Passing Marks: Now, we know the total marks (T) are 475. The passing marks (P) can be calculated as: P 0.52 * 475 - 23 247 - 23 270 Mohan's Score: Mohan secured 84 marks, which can be calculated as: Mohan's score 84 * 475 / 100 399

Conclusion

Thus, the score of Mohan in the same examination, who secured 84 marks, is 399. This comprehensive approach ensures the accuracy of the calculation and offers a clear understanding of the scoring pattern in the examination.