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

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Joined: 02 Sep 2009
Posts: 51035
If powdered drink mix costs c cents per ounce and p pounds of it are p  [#permalink]

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19 Aug 2018, 08:51
00:00

Difficulty:

75% (hard)

Question Stats:

48% (02:14) correct 52% (03:01) wrong based on 44 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, 10:39
1
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  [#permalink]

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03 Nov 2018, 03:26
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) $$\frac{25cp}{12}$$

1 cent = $$\frac{1}{100}$$ dollars
1 ounce =$$\frac{1}{16}$$ pounds

$$\frac{c \ \ cents}{1 \ \ ounce} = \frac{c *\frac{1}{100} dollars }{\frac{1}{16} pound} = \frac{4c}{25}$$ $$\frac{dollars}{pound}$$

cost per unit $$\frac{4c}{25}$$

Total number of pounds sold = p

Total revenenu 3 * $$\frac{4cp}{25}$$ = $$\frac{12cp}{25}$$
If powdered drink mix costs c cents per ounce and p pounds of it are p &nbs [#permalink] 03 Nov 2018, 03:26
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