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# A deli sells pints of two flavors of ice cream: vanilla and chocolate.

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Math Expert
Joined: 02 Sep 2009
Posts: 58458
A deli sells pints of two flavors of ice cream: vanilla and chocolate.  [#permalink]

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10 May 2016, 02:47
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:50) correct 18% (01:41) wrong based on 46 sessions

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A deli sells pints of two flavors of ice cream: vanilla and chocolate. If the deli purchases each pint of the two ice cream flavors for the same amount of money, did the store, last Monday, make a greater profit on the sale of the vanilla ice cream or the chocolate ice cream?

(1) On Monday the deli sold 1.5 times as many pints of vanilla ice cream as chocolate ice cream.
(2) The selling price per pint of the vanilla ice cream is 1/4 the selling price per pint of the chocolate ice cream.

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Joined: 16 Mar 2016
Posts: 121
Location: France
GMAT 1: 660 Q47 V33
GPA: 3.25
A deli sells pints of two flavors of ice cream: vanilla and chocolate.  [#permalink]

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10 May 2016, 13:31
let's write :

Purchase price of vanilla = purchase price of chocolate = p

Sell price of vanilla = v
Sell price of chocolate = c

Number of Vanilla sells = Nv
Number of chocolate sells = Nc

profits of vanilla sells = Nv(v-p)
profits of chocolate sells = Nc(c-p)

(1) Nv = 1.5 * Nc

profits of vanilla sells = 1.5 * Nc*(v-p)
profits of chocolate sells = Nc(c-p)
We cannot compare since we don't know c and v
Not sufficient

(2) v=1/4 * c
profits of vanilla sells = Nv(1/4 * c-p)
profits of chocolate sells = Nc(c-p)
We cannot compare since we don't know Nc and Nv
Not sufficient

(combined)
profits of vanilla sells = 1,5 * Nc (1/4 * c-p)
profits of chocolate sells = Nc(c-p)

We can compare by subtracting profits of vanilla sells -profits of chocolate sells => 1,5 * Nc (1/4 * c-p) - Nc(c-p) and see if it is positive or negative.

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Joined: 09 Sep 2013
Posts: 13244
Re: A deli sells pints of two flavors of ice cream: vanilla and chocolate.  [#permalink]

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10 Oct 2018, 15:09
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Re: A deli sells pints of two flavors of ice cream: vanilla and chocolate.   [#permalink] 10 Oct 2018, 15:09
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