GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 13 Nov 2018, 16:44

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Essential GMAT Time-Management Hacks

November 14, 2018

November 14, 2018

07:00 PM PST

08:00 PM PST

Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST

# If powdered drink mix costs c cents per ounce and p pounds of it are p

Author Message
TAGS:

### Hide Tags

Current Student
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 1120
Location: India
WE: General Management (Aerospace and Defense)
If powdered drink mix costs c cents per ounce and p pounds of it are p  [#permalink]

### Show Tags

30 Oct 2017, 11:23
Top Contributor
1
00:00

Difficulty:

95% (hard)

Question Stats:

42% (02:38) correct 58% (02:38) wrong based on 48 sessions

### HideShow timer Statistics

If powdered drink mix costs c cents per ounce and p pounds of it are purchased by a supplier who intends to resell it, what will be the total revenue, in dollars, in terms of c and p if all of the drink mix is sold at a price per ounce equivalent to three times what the supplier paid? (16 ounces = 1 pound and 100 cents = 1 dollar)

(A) $$48cp$$

(B) $$\frac{32cp}{100}$$

(C) $$\frac{100(32)}{cp}$$

(D) $$\frac{12cp}{25}$$

(E) $$\frac{25cp}{12}$$

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7025
If powdered drink mix costs c cents per ounce and p pounds of it are p  [#permalink]

### Show Tags

30 Oct 2017, 19:24
Gnpth wrote:
If powdered drink mix costs c cents per ounce and p pounds of it are purchased by a supplier who intends to resell it, what will be the total revenue, in dollars, in terms of c and p if all of the drink mix is sold at a price per ounce equivalent to three times what the supplier paid? (16 ounces = 1 pound and 100 cents = 1 dollar)

(A) $$48cp$$

(B) $$\frac{32cp}{100}$$

(C) $$\frac{100(32)}{cp}$$

(D) $$\frac{12cp}{25}$$

(E) $$\frac{25cp}{12}$$

PROPER method:_
The most important and crucial step is to convert cents per ounce to pounds per dollar
so price c cents per ounce....c cents per $$\frac{1}{16}$$ dollars = 16c cents per dollar = $$\frac{16c}{100}$$ pounds per dollar
so price of p dollars = $$p*\frac{16c}{100}=\frac{4*pc}{25}$$...
THRICE of this cost =$$3*\frac{4*pc}{25} = \frac{12pc}{25}$$

D

SUBSTITUTION

take easy number..
let c be 100 and p be 1....
so he spends c cents per ounce = 100 cents per 1/16 pound or 1600cents per pound = 16 dollars per pound..
and since he buys 1 pound , 16*1 = 16 dollars..

Now are answer should give ans as 16*3=48

check choices

(A) $$48cp.....48*100*1.....NO$$

(B) $$\frac{32cp}{100} = \frac{32*100*1}{100}=32.......no$$

(C) $$\frac{100(32)}{cp}.... \frac{100*32}{100*1}=32....no$$

(D) $$\frac{12cp}{25}=\frac{12*100*1}{25}=12*4=48....yes$$

(E) $$\frac{25cp}{12}.....\frac{25*100*1}{12}.....no$$

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

If powdered drink mix costs c cents per ounce and p pounds of it are p &nbs [#permalink] 30 Oct 2017, 19:24
Display posts from previous: Sort by