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30 Oct 2017, 12:23
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
65% (02:25) correct
35%
(02:33)
wrong
based on 413
sessions
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Not Attempted Yet
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) \(\frac{25cp}{12}\)
(A) \(48cp\)
(B) \(\frac{32cp}{100}\)
(C) \(\frac{100(32)}{cp}\)
(D) \(\frac{12cp}{25}\)
(E) \(\frac{25cp}{12}\)
30 Oct 2017, 20:24
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Gnpth
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) \(\frac{25cp}{12}\)
(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
General Discussion
19 Aug 2018, 11:39
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Bunuel
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) \(\frac{3200}{cp}\)
(D) \(\frac{12cp}{25}\)
(E) \(\frac{25cp}{12}\)
(A) \(48cp\)
(B) \(\frac{32cp}{100}\)
(C) \(\frac{3200}{cp}\)
(D) \(\frac{12cp}{25}\)
(E) \(\frac{25cp}{12}\)
Total revenue=3*Paid amount by supplier
Unit cost if the material=c cents per ounce=\(\frac{c}{100}\) $/ounce=\(\frac{16c}{100}\) $/pound
Total no of units of the material=p pounds
So, Paid amount by supplier=unit cost* no of units=\(\frac{16c}{100}\) $/pound * p pounds=\(\frac{4cp}{25}\)$
So, Total revenue=3*\(\frac{4cp}{25}\)=\(\frac{12cp}{25}\)$
Ans. (D)
