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

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Bunuel
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A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sol [#permalink] New post   30 Nov 2015, 01:02
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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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D
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Re: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sol [#permalink] New post   30 Nov 2015, 01:22
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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

Answer: D
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Re: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sol [#permalink] New post   30 Nov 2015, 10:55
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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] New post   30 Nov 2015, 01:28
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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

Answer D

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

Answer D
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Re: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sol [#permalink] New post   17 Feb 2019, 01:11
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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] New post   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
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A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sol [#permalink] New post   23 Jan 2022, 09:17
To answer this question, we have to determine an equivalent unit. Since we have a buying price for 3 pounds and selling price at 4 pounds, we have to find a common multiple.

I chose 12. Let's say he sells 12 pounds .. (4 pounds 1 dollar * 3 = $3 dollars). So if he sells 12 pounds he gets $3.
To purchase the same amount he needs to buy (3 pounds @ .5 * 4 = $2 dollars). So if he buys 12 pounds it costs $2.
This provides us a profit of $1.

Since he earned a profit of $10. Multiply ( 12 pounds * 10 = 120 pounds).
Answer is 120.
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A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sol [#permalink] New post   06 Feb 2023, 20:11
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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

I used PIN (Plugging in values)
Since the profit is $10, the quantity must be evenly divisible by 3 & 4.
Testing 60, at cp - 3 Pounds = $0.5 this implies 60 Pounds = 0.5*20 = 10
At sp - 4 Pounds = $1 this implies 60 pounds = 1 * 15 = 15,
Profit = 15 - 10 = 5 Not sufficient.
At this point we can notice 5 is just half the profit when the quantity is 60.Therefore when the quantity is doubled the profit is doubled.60*2=120
D
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Re: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sol [#permalink] New post   11 Mar 2024, 10:18
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