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Previous Year Question (PYQs)
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?
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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
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