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?
(1) 21
(2) 23
(3) 44
(4) 46

Answer 1

Thank you for asking this question. Here is your answer:

We will assume the friends to be x and the contribution they are going to make be y

so,

xy = (x-2)(y+1)

= xy - 2y + x - 2

x = 2(y+1)

Here are the possible values of y,x and yx:

y = 21,22,23,24

x = 44,46,48,50

xy = 920, 1012,1104,1200

1000 < xy < 1100 (y,x)

= (22,46)

which will be x = 46

So the number of friends would be x -2 = 44

If there is any confusion please leave a comment below.