Step-by-Step Rank Calculation

To find Paul's rank, we first need to determine Raghu's rank from the information given and then use the relationship between their ranks.

1. Finding Raghu's Rank

• There are a total of 50 students in the class.
• We are told that 10 students have ranked worse than Raghu. This means 10 students are ranked behind him (from rank 41 to 50).
• The number of students ranked at or better than Raghu is the total number of students minus those ranked worse than him.
• Number of students at or better than Raghu's rank = 50 - 10 = 40.
• Therefore, Raghu's rank is 40th.

2. Finding Paul's Rank

• The problem states that "Raghu's rank is twice that of Paul."
• Let R be Raghu's rank and P be Paul's rank. The equation is: R = 2 × P.
• We can now substitute the value we found for Raghu's rank:
• 40 = 2 × P
• P = 40 / 2
• P = 20

Conclusion

Paul's rank in the class is 20th.