CBSE Class 10CBSE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Rs. 9000 Were Divided Equally Among a Certain Number of Persons. Had There Been 20 More Persons, Each Would Have Got Rs. 160 Less. Find the Original Number of Persons. - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

Rs. 9000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.

Solution

Let the original number of persons be x.
Then, by the given information,

`9000/x-160=900/(x+20)`

`(9000-160x)/x=9000/(x+20)`

(x + 20)(9000 - 160x) = 9000x

9000x - 160x2 + 180000 - 3200x = 9000x

160x2 - 180000 + 3200x = 0

x2 - 1125 + 20x = 0

x2 - 1125 + 20x + 100 = 100

(x + 10)2 = 1225

x + 10 = 35

x = 35 - 10

x = 25

Thus, the original number of persons is Rs 25.

  Is there an error in this question or solution?

APPEARS IN

Solution Rs. 9000 Were Divided Equally Among a Certain Number of Persons. Had There Been 20 More Persons, Each Would Have Got Rs. 160 Less. Find the Original Number of Persons. Concept: Solutions of Quadratic Equations by Factorization.
S
View in app×