MCQ - 398-9130

Correct Answer: B

Explanation:

Let the no of children is x and amount given to each child is y
As the total amount is 250 ₹
We have,
xy = 250

Also, given if no of children is increased by 25, the amount to each get less by 50 paise i.e. 0.5 ₹
So, we have
(x + 25)(y – 0.5) = 250
⇒ 500x – x² + 12500 – 25x = 500x
⇒ x² + 25x – 12500 = 0
⇒ x² + 125x – 100x – 12500 = 0
⇒ x(x + 125) – 100(x + 125) = 0
⇒ (x – 100)(x + 125) = 0
so,
⇒ x – 100 = 0 or x + 125 = 0
⇒ x = 100 or – 125
However, no. of students can't be negative
Hence, x = 100
So, there were 100 students.