Data Sufficiency

If everyone was charged the same fee, how many people came?
a. If the fee had been %0.75 less and 100 more people came the club would have received the same amount.
b. If fee had been $1.50 more and 100 fewer people came, the club would have received the same amount

oa C

let x be the amount charged to each person

let n be the number of people

total club earnings = x*n

Statement I

(100+n)(x - .75%x) = total club earnings = xn

2 variables 1 equation can't solve. Insufficient.

Statement II

(n-100)(1.5+x) = total club earnings = xn

2 variables 1 equation can't solve. Insufficient.


Combining I & II

2 variables, 2 equation you can easily solve for n . Sufficient.

Hence C.

Hope this helps.

answer shd be A...
since we get 0.9925x...and can cancel x on both sides..

comments please

necromancer_678 wrote:answer shd be A...
since we get 0.9925x...and can cancel x on both sides..

comments please

somebody look in to this..

Yeah Statement 1 should be sufficient!

Answer should be A

ogbeni wrote:Yeah Statement 1 should be sufficient!

Let f be the fee. Let n be the number of people.
0.75% less fee = 0.9925*f

Hence, by A:

0.9925*f*(n+100) = n*f

f cancels out as f<>0.
Therefore,
0.9925*n + 99.75 = n
0.0075*n = 99.75
n = 13300

Hence A is sufficient.

For B:

(f + 1.5)*(n - 100) = f*n
This yields an equation with two unknowns. Hence, B not sufficient.

Therefore, answer is A.

shibal wrote:If everyone was charged the same fee, how many people came?
a. If the fee had been %0.75 less and 100 more people came the club would have received the same amount.
b. If fee had been $1.50 more and 100 fewer people came, the club would have received the same amount

oa C

Was there ever any resolution to this. Is it A or C. On the 700+ answer doc, it says answer is C

If A - can someone show?

Answer explained by @gmat_2010

doclkk wrote:

shibal wrote:If everyone was charged the same fee, how many people came?
a. If the fee had been %0.75 less and 100 more people came the club would have received the same amount.
b. If fee had been $1.50 more and 100 fewer people came, the club would have received the same amount

oa C

Was there ever any resolution to this. Is it A or C. On the 700+ answer doc, it says answer is C

If A - can someone show?

There is a typo in the original question. It should be $0.75 not percent...

OA is C

whoever got A with the original posting was correct.
however, if statement 1 is $0.75 less...then answer is C...b/c you get an eqt with 2 variables.