There are 145 students in the first three standards. The ratio of number of students in the first and the second standards is 2 : 3, while that of students in standards second and third is 4 : 3. Find the number of students in 2nd standard.

Question: There are 145 students in the first three standards. The ratio of number of students in the first and the second standards is 2 : 3, while that of students in standards second and third is 4 : 3. Find the number of students in 2nd standard.

Solution:
Total students = 145.
Ratio of students in 1st and 2nd standards = 2 : 3 = (2 × 4) : (3 × 4) = 8 : 12

Ratio of students in 2nd and 3rd standards = 4 : 3 = (4 × 3) : (3 × 3) = 12 : 9
Hence combined ratio i.e. 1st : 2nd: 3rd is = 8 : 12 : 9.

∴ Number of students in 2nd standard = (145 × 12)/29 = 60