What is the respective ratio between the total number of students who have enrolled for coaching institutes X and Y together from school R and the total number of students who have enrolled for the same coaching institutes together from school S ?

Number of students in Institute X =250
Number of students in Institute X from School R = 30% of 250 = 75
Number of students in Institute Y =300
Number of students in Institute Y from School R = 25% of 300= 75
Number of students in Institute X =250
Total number of students from school R in Institutes X and Y = 150
Number of students in Institute X from School S = 30% of 250 = 75
Number of students in Institute Y =300
Number of students in Institute Y from School S = 15% of 300= 45
Total number of students from school S in Institutes X and Y = 120
Ratio = 150/120 = 5/4
Option B is the correct answer.