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A grocer has 300 pounds of vegetables in stock, 20 percent of which is

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siddharthkapoor
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A grocer has 300 pounds of vegetables in stock, 20 percent of which is [#permalink] New post   18 Sep 2020, 00:10
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A grocer has 300 pounds of vegetables in stock, 20 percent of which is rotten. If the grocer has the other 100 pounds of vegetables of which 40 percent is rotten, what percent, in pounds, of the grocer’s stock of vegetables is rotten?

(A) 15%
(B) 20%
(C) 24%
(D) 25%
(E) 40%
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D
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Bunuel
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Re: A grocer has 300 pounds of vegetables in stock, 20 percent of which is [#permalink] New post   18 Sep 2020, 00:13
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siddharthkapoor wrote:
A grocer has 300 pounds of vegetables in stock, 20 percent of which is rotten. If the grocer has the other 100 pounds of vegetables of which 40 percent is rotten, what percent, in pounds, of the grocer’s stock of vegetables is rotten?

(A) 15%
(B) 20%
(C) 24%
(D) 25%
(E) 40%


This is a copy of the following OG question: https://gmatclub.com/forum/a-grocer-has ... 75092.html
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Re: A grocer has 300 pounds of vegetables in stock, 20 percent of which is [#permalink] New post   18 Sep 2020, 00:56
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i think the following statement should be corrected " If the grocer has the other 100 pounds ", should be "If the grocer has another 100 pounds"


The question can be answered in multiple ways. We can use concept of percentages, weighted averages and even theory of Alligations to solve this.


By the theory of weighted averages, \(Average\)% = \(\frac{Percentage_1 \space * \space Q_1 \space + \space Percentage_2 \space * \space Q_2}{Q_1 \space + Q_2}\)


\(Average\)% = \(\frac{(20 * 300) \space + \space (40 * 100)}{300 + 100} = \frac{6000 + 4000}{400} = \frac{10000}{400} = 25\)%



Option D

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A grocer has 300 pounds of vegetables in stock, 20 percent of which is [#permalink] New post   18 Sep 2020, 10:42
siddharthkapoor wrote:
A grocer has 300 pounds of vegetables in stock, 20 percent of which is rotten. If the grocer has the other 100 pounds of vegetables of which 40 percent is rotten, what percent, in pounds, of the grocer’s stock of vegetables is rotten?

(A) 15%
(B) 20%
(C) 24%
(D) 25%
(E) 40%

20% of 300 + 40% of 100 =\( 60 + 40 = 100\)

So, percent rotten is \(\frac{100}{400}*100 => 25\)%, Answer must be (D)
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Re: A grocer has 300 pounds of vegetables in stock, 20 percent of which is [#permalink] New post   24 Sep 2020, 08:18
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siddharthkapoor wrote:
A grocer has 300 pounds of vegetables in stock, 20 percent of which is rotten. If the grocer has the other 100 pounds of vegetables of which 40 percent is rotten, what percent, in pounds, of the grocer’s stock of vegetables is rotten?

(A) 15%
(B) 20%
(C) 24%
(D) 25%
(E) 40%


Solution:

The number of pounds of vegetables that are rotten is:

300 x 0.2 + 100 x 0.4 = 60 + 40 = 100

Therefore, out of the 400 pounds of vegetables, 100/400 = 1/4 = 25% is rotten.

Answer: D
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Re: A grocer has 300 pounds of vegetables in stock, 20 percent of which is [#permalink] New post   14 Jul 2023, 05:20
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Re: A grocer has 300 pounds of vegetables in stock, 20 percent of which is [#permalink]
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