It is currently 22 Oct 2017, 05:11

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# At a certain state university last term, there were p

Author Message
Intern
Joined: 10 Jul 2006
Posts: 10

Kudos [?]: 3 [0], given: 0

At a certain state university last term, there were p [#permalink]

### Show Tags

24 Jul 2006, 05:42
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 3 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

At a certain state university last term, there were p students each of whom paid either the full tuition of x dollars or half the full tuition. What percent of the tuition paid by the p students last term was tuition from students who paid the full tuition?

(1) Of the p students, 20 percent paid the full tuition.
(2) The p students paid a total of \$91.2 million for tuition last term.

Kudos [?]: 3 [0], given: 0

Manager
Joined: 30 Jun 2006
Posts: 87

Kudos [?]: 11 [0], given: 0

### Show Tags

24 Jul 2006, 07:24
Statement 1

20 percent of the students paid full tution.
Hence the amount would be - 1/5 * p *x = px/5

80 percent should have paid half the tution which is x/2
Total tution = 80% of p * x /2
= 4/5*p*x/2 = 2xp/5

Hence the total fees 3xp/5

percent of the tution paid by the p students last term was tution from students who paid the full tution =

(px/5) / (3px/5) * 100 = 1/3 * 100 = 33 1/3 %

Hence A is sufficient.

Statement (2) The p students paid a total of \$91.2 million for tuition last term.

Nothing can be inferred from this.

Hence "A "

Kudos [?]: 11 [0], given: 0

SVP
Joined: 30 Mar 2006
Posts: 1728

Kudos [?]: 99 [0], given: 0

### Show Tags

25 Jul 2006, 03:07
A

1) 20% of P paid = 20/100 * P * x = px/5

80% of P paid = 80/100 * P * x/2 = 2px/5

Total tution = 3px/5

percent = (px/5)/(3px/5) * 100 = 100/3 %

2) Total tution = 91.2M
Not suff

Kudos [?]: 99 [0], given: 0

Director
Joined: 28 Dec 2005
Posts: 750

Kudos [?]: 18 [0], given: 0

### Show Tags

25 Jul 2006, 03:28
full payers = f
1/2 payers = p-f

fraction = fx/(fx+(p-f)x/2))
=2f/(f+p)

1. expresses f in terms of p suff
2. insuff

A

Kudos [?]: 18 [0], given: 0

Intern
Joined: 10 Jul 2006
Posts: 10

Kudos [?]: 3 [0], given: 0

### Show Tags

25 Jul 2006, 08:46
Thanks everyone. The OA is A.

Kudos [?]: 3 [0], given: 0

25 Jul 2006, 08:46
Display posts from previous: Sort by
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}