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The ratio of two quantities is 2 : 3. If each of the quantities is inc

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New post 22 Dec 2015, 00:23
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The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?

A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The ratio of two quantities is 2 : 3. If each of the quantities is inc [#permalink]

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New post 22 Dec 2015, 00:57
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Bunuel wrote:
The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?

A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.


let quantities are 2x and 3x

ratio of quantities after each is increased by 6 = (2x+6)/(3x+6)

For x = 1, (2x+6)/(3x+6) = 8/9

For x = 2, (2x+6)/(3x+6) = 10/12

The value of final expression is dependent on the value of x which can't be determined as per given information. Hence, The answer can not be determined

Answer: Option E
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Re: The ratio of two quantities is 2 : 3. If each of the quantities is inc [#permalink]

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New post 22 Dec 2015, 23:19
IMO, the answer is E.
Plug in method: let's call x/y ratio = 2/3.
We can have:
x = 2, y =3: x/y =2/3. If x, y increase by 6 x/y = (2+6)/(3+6) = 8/9
x= 4, y =6: x/y = 2/3. If x,y increase by 6 x/y = (4+6)/(6+6) = 10/12 = 5/6.
Therefore we cannot determine the value of (x+6)/(y+6).
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Re: The ratio of two quantities is 2 : 3. If each of the quantities is inc [#permalink]

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New post 23 Dec 2015, 01:59
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.

The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?

A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.




Since the ratio is 2:3 we can put the quantities as 2K and 3K.
Moreover increasing quantities implies that the quantities become 2K+6 and 3K+6. So the ratio is (2K+6):(3K+6). The ratio value depend on the value of K. So It cannot be determined from the information given.


The answer is, therefore, (E).
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New post 28 Dec 2015, 04:05
2/3 means 4/6, 6/9, 8/12 etc. Addition of even certain numbers gives the different final ratio

E

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Re: The ratio of two quantities is 2 : 3. If each of the quantities is inc [#permalink]

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New post 25 Sep 2017, 16:38
Bunuel wrote:
The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?

A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.


If the original two quantities are 2 and 3 (which has a ratio of 2: 3), then the new ratio will be 8 : 9. However, if the original two quantities are 4 and 6 (which also has a ratio of 2: 3), then the new ratio will be 10 : 12 or 5: 6.

We see that the new ratio can’t be uniquely determined; thus, the answer to this question must be E.

Answer: E
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Re: The ratio of two quantities is 2 : 3. If each of the quantities is inc   [#permalink] 25 Sep 2017, 16:38
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