Question

Rs 24000 were divided equally among a certain number of person. had there been 50 more persons each would have got Rs 500 less. find the original number of persons ​

Answer 1

Answer:

Total rupees=Rs.6500

Let original no. of persons=x

Money given to each person=

x

6500

Now 15 more persons come, so total no. of people became=x+15.

Division of money among x+15 people=

x+15

6500

But according to question, division of money among (x+15) people=

x

6500

−30

Division among x+15 people=

x+15

6500

=

x

6500

−30

⇒6500x=500x+6500(15)−30x(x+15)

⇒30x

2

+450x−6500(15)=0

⇒x

2

+15x−3250=0

⇒x=

2

−15±

225+4(3250)

⇒x=

2

−15±115

⇒x



=−65

⇒x=50