Q. 26 A4.6( 5 Votes )

# ₹ 250 is divided

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 [By 1] 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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Trigonometric Identities-II43 mins  Check What you know- Quiz Part II43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 