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There are three varieties of sugar in a store. Sugar S1 costs $6 per

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There are three varieties of sugar in a store. Sugar S1 costs $6 per  [#permalink]

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New post Updated on: 08 Aug 2018, 20:26
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There are three varieties of sugar in a store. Sugar S1 costs $6 per kilogram and sugar S2 costs $9 per kilogram. Sugar S1 is mixed with Sugar S2 and a new variety of Sugar S3 is formed. If 20 kilograms of Sugar S3 consists of A kilograms of Sugar S1 and B kilograms of Sugar S2, is A > B ?

(1) A > 9

(2) The cost of 20 kilograms of Sugar S3 is more than $150.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Originally posted by gsingh0711 on 08 Aug 2018, 17:45.
Last edited by amanvermagmat on 08 Aug 2018, 20:26, edited 1 time in total.
Edited the title
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Re: There are three varieties of sugar in a store. Sugar S1 costs $6 per  [#permalink]

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New post 08 Aug 2018, 17:46
Given two varieties of sugar sugar S1 and sugar S2. Sugar S1 costs $6 per kilogram and sugar S2 costs $9 per kilogram. Sugar S1 is mixed with Sugar S2 and a new variety of Sugar S3 is formed.

Also given if 20 kilograms of Sugar S3 consists of A kilogram of Sugar S1 and B kilogram of Sugar S2
⇒ A + B = 20

Considering statement 1:
A > 9
As no information is given regarding B and the Cost of Sugar S3 , it is not possible to determine whether A > B or not. A and B both may be 10 kg each (i.e. A is not greater than B) or A = 11 and B = 9 (i.e. A > B).

Since we are not getting a definite answer from above statement , statement 1 itself is not sufficient to provide the answer.

Considering statement 2:
The cost of 20 kilogram of Sugar S3 is more than $150.
⇒ 6A + 9B > 150

Putting B = 20 − A gives:
6A + 9(20 − A) > 150
⇒ A < 10
Hence, B will be greater than 10 (as sum of A and B is 20)
⇒ A is definitely not greater than B.

Since we are getting a definite answer from above statement, statement 2 itself is sufficient to provide the answer.

I think, I deserve a kudus LOL
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Re: There are three varieties of sugar in a store. Sugar S1 costs $6 per  [#permalink]

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New post 10 Aug 2018, 00:03
gsingh0711 wrote:
There are three varieties of sugar in a store. Sugar S1 costs $6 per kilogram and sugar S2 costs $9 per kilogram. Sugar S1 is mixed with Sugar S2 and a new variety of Sugar S3 is formed. If 20 kilograms of Sugar S3 consists of A kilograms of Sugar S1 and B kilograms of Sugar S2, is A > B ?

(1) A > 9

(2) The cost of 20 kilograms of Sugar S3 is more than $150.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
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: There are three varieties of sugar in a store. Sugar S1 costs $6 per &nbs [#permalink] 10 Aug 2018, 00:03
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