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

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Math Expert
Joined: 02 Sep 2009
Posts: 49300
If powdered drink mix costs c cents per ounce and p pounds of it are p  [#permalink]

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19 Aug 2018, 09:51
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Difficulty:

45% (medium)

Question Stats:

58% (01:51) correct 42% (01:52) wrong based on 12 sessions

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

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

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19 Aug 2018, 11:39
Bunuel 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) $$\frac{3200}{cp}$$

(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)
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If powdered drink mix costs c cents per ounce and p pounds of it are p &nbs [#permalink] 19 Aug 2018, 11:39
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