Each person in a group of teachers and students is given the same number of chocolates as the number of students. If 4 more students are added then in order to have the same number of chocolates per person as earlier, 28 more chocolates are needed. The total number of students now is

Correct option is B

Solution:

Let:

• Number of students = s

• Number of teachers = t

Given:

• Each person (students + teachers) gets s chocolates.

Thus, total chocolates = (s + t) × s

Now, if 4 more students are added:

• Number of students becomes (s + 4)

• Number of persons = (s + 4) + t = (s + t + 4)

Still, each person should get s chocolates.

New total chocolates = (s + t + 4) × s

But it is given that 28 more chocolates are needed.

Thus:(s + t + 4) × s = (s + t) × s + 28

Expand:s × (s + t + 4) = s × (s + t) + 28

Simplifying:s² + st + 4s = s² + st + 28

Cancel s² + st from both sides:

4s = 28
s = 7

Thus, original number of students = 7.

Now, after adding 4 more students:

Total number of students = 7 + 4 = 11

Thus, correct answer is (b) 11.

Final Answer: (b) 11