Some friends planned to contribute equally to jointly buy a CD player However, two of them decided to withdraw - Maths - Life Mathematics

Question

Some friends planned to contribute equally to jointly buy a CD
player However, two of them decided to withdraw at the last minute
As a result, each of the others had to shell out one rupee more
than what they had planned for If the price (in Rs ) of the CD
player is an integer between 1000 and 1100, find the number of
friends who actually contributed ?

Mayank Jha · Accepted Answer

Dear student,

Let the number of friends initially be n and let the contribution of each be x
Given, nx = (n - 2)(x + 1) = nx - 2x + n - 2⇒n = 2(x + 1)We tabulate the possible values of x, n and nx below:

x
n
nx

21
44
920

22
46
1012

23
48
1104

24
50
1200

As 1000 < nx < 1100, (x , n) = (22, 46) i
e
 n = 46Hence, number of friends who actually contributed = n - 2 = 44

Regards