In a coaching institute, the number of students in class 10 is 1/3 more than the number of students in class 12. If the total number of students in class 10 and class 12 in the institute is 112, find the number of students in class 10 in that institute.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 64
The number of students in class 10 is 1/3 more than the number of students in class 12.
So, let the number of students in Class 12th = 3x
The number of students in Class 10th = 4x
Total number of students in classes 10th and 12th = 112
⇒ 3x + 4x = 112
⇒ 7x = 112
⇒ x = 16
Therefore, the number of students in class 10th = 4x = 4 × 16 = 64.
Hence, the correct answer is 64.