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Packet A contains a mixture of salt and sugar and Packet B contains a

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Director
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Joined: 25 Dec 2018
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Packet A contains a mixture of salt and sugar and Packet B contains a  [#permalink]

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New post 14 Mar 2019, 00:12
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A
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Difficulty:

  55% (hard)

Question Stats:

66% (02:09) correct 34% (02:15) wrong based on 35 sessions

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Packet A contains a mixture of salt and sugar and Packet B contains a mixture of salt and pepper. When the contents of the two packets are mixed in a bowl, the resultant mixture weighs 400 grams and contains 25% sugar. How many grams of salt are contained in Packet B?

(1) One-third of the mixture in Packet A is sugar

(2) 15% of the resultant mixture is pepper

A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

B)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

C)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D)EACH statement ALONE is sufficient to answer the question asked.

E)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
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Re: Packet A contains a mixture of salt and sugar and Packet B contains a  [#permalink]

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New post 19 Mar 2019, 11:56
mangamma wrote:
Packet A contains a mixture of salt and sugar and Packet B contains a mixture of salt and pepper. When the contents of the two packets are mixed in a bowl, the resultant mixture weighs 400 grams and contains 25% sugar. How many grams of salt are contained in Packet B?

(1) One-third of the mixture in Packet A is sugar

(2) 15% of the resultant mixture is pepper



The resultant mixture weighs 400 gram of which 25% is sugar. Therefore the mixture contains 400*0.25 = 100 gram of sugar.

1) \(1/3\) of the mixture in packet A is sugar. Since the resultant mixture has 100 grams of sugar which is only present in A.
Total quantity of mixture A = 100* 3 =300 grams,where salt - 200 gram and sugar - 100 gram. No information regarding packet B can be deduced.
Hence insufficient.

2) Amount of pepper = 400 * 0.15 = 60 grams. So in the resultant mixture we get Sugar - 100 gm Pepper - 60 gm . Hence salt = 400 -100-60 = 240 grams
But how much of it is from B cant be determined. Hence insufficient.

1 + 2
300 gram of mixture A, where Salt = 200 gram
Total salt in the mixture = 240 gram
Salt in B = 240 -200 = 40 gram.

Hence sufficient. Answer (C)
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Re: Packet A contains a mixture of salt and sugar and Packet B contains a  [#permalink]

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New post 19 Mar 2019, 12:28
#1
400gms = .25 = 100 gms sugar
so total A = 300 gms ; 200 gms salt and 100 gms sugar ; in suficient and B packet info missing
#2
15% is pepper
so .15 * 400= 60 ; what about rest in sufficient
from 1 & 2
400-300-60 = 40 is salt of packet B
sufficient
IMO C

mangamma wrote:
Packet A contains a mixture of salt and sugar and Packet B contains a mixture of salt and pepper. When the contents of the two packets are mixed in a bowl, the resultant mixture weighs 400 grams and contains 25% sugar. How many grams of salt are contained in Packet B?

(1) One-third of the mixture in Packet A is sugar

(2) 15% of the resultant mixture is pepper

A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

B)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

C)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D)EACH statement ALONE is sufficient to answer the question asked.

E)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
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Re: Packet A contains a mixture of salt and sugar and Packet B contains a   [#permalink] 19 Mar 2019, 12:28
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