Bunuel
A university canteen owner determined that the number of new chairs needed in the canteen is proportional to the number of new admissions in the university minus the number of pass-outs from the university. If C is the number of new chairs needed in the canteen and N is the number of new admissions minus the number of pass-outs of the university, how many new chairs did the canteen owner determined to order?
(1) The number of new admissions minus the number of pass-outs from the university was 100.
(2) As per the relationship determined by the canteen owner, if the number of new admissions minus the number of pass-outs of the university were 450, then 90 new chairs would be needed.
Given: C = k * N, where k is any positive number.
C =?Statement 1:
N = 100
=> C = k * 100, but k is unknown.
Statement 1 is Not Sufficient.
Statement 2:
90 = k * 450
=> k = \(\frac{90}{450}\) = \(\frac{1}{5}\)
But N is not given, for which we need to find C.
Statement 2 is also Not Sufficient.
Statement 1 and Statement 2 combined:
N = 100 and 90 = k * 450
=> k = \(\frac{1}{5}\) and N = 100
=> C = k * N = \(\frac{1}{5}\) * 100 = 20
Statement 1 and Statement 2 together are Sufficient.
So, correct answer is option C.