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# A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sol

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Math Expert
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A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sol  [#permalink]

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30 Nov 2015, 01:02
2
5
00:00

Difficulty:

35% (medium)

Question Stats:

76% (02:00) correct 24% (01:57) wrong based on 116 sessions

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A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sold the entire quantity at 4 pounds for \$1.00. How many pounds did the grocer purchase if the profit from selling the bananas was \$10.00?

(A) 40
(B) 60
(C) 90
(D) 120
(E) 240

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Re: A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sol  [#permalink]

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30 Nov 2015, 01:22
1
Cost price of 1 pound of bananas = 0.5/3 = 1/6
Selling price of 1 pound of bananas = 1/4
Profit per pound = (1/4 - 1/6) = (1/12)
Total profit is given as 10
(1/12)*x = 10
x = 120

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Re: A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sol  [#permalink]

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30 Nov 2015, 01:28
1
Cost price of 3 pounds = \$ .5
Selling price of 4 pounds = \$1.00
Selling price of 3 pounds = 1/4 * 3 = .75 \$

Profit for every 3 pounds = .75 - .5 = .25 \$
Total profit = 10 \$
Number of pounds purchased by grocer = (10/.25) * 3 = 120 Pounds

Alternatively , we can equate the price for 12 pounds (LCM of 3 and 4)
Cost price of 12 pounds = 2\$
Selling price of 12 pounds = 3 \$
Profit per 12 pounds = 1\$
Number of pounds purchased by grocer = (10/1) * 12 = 120

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Re: A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sol  [#permalink]

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30 Nov 2015, 10:55
2
Bunuel wrote:
A grocer purchased a quantity of bananas at 3 pounds for \$0.50
Purchase price of 12 pounds is \$ 2.00

Bunuel wrote:
sold the entire quantity at 4 pounds for \$1.00.
Selling price of 12 pounds is \$ 3

Bunuel wrote:
if the profit from selling the bananas was \$10.00?
Profit is \$1 when quantity sold is 12 pounds
So, \$ 10 profit can be made by selling (12*10) 120 pounds of banana

Hence IMHO E
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Re: A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sol  [#permalink]

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17 Feb 2019, 01:11
Bunuel wrote:
A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sold the entire quantity at 4 pounds for \$1.00. How many pounds did the grocer purchase if the profit from selling the bananas was \$10.00?

(A) 40
(B) 60
(C) 90
(D) 120
(E) 240

CP for each banana = 0.50/3

SP for each banana = 0.25

Now profit will be

Revenue * No of items = Profit
0.25 - 0.50/3 * no of items = 10

No of items = 120

D
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Re: A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sol  [#permalink]

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26 Mar 2019, 12:02
Profit = Revenue - Cost
10 = (1/4x) - (.5/3x)
10 = (1/4x) - (1/6x)
120 = 3x - 2x
120 = x
Thus, D
Re: A grocer purchased a quantity of bananas at 3 pounds for \$0.50 and sol   [#permalink] 26 Mar 2019, 12:02
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