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# Two vessels A and B containing spirit and water mixed in the

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Joined: 09 Jun 2018
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Two vessels A and B containing spirit and water mixed in the  [#permalink]

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09 Oct 2019, 10:38
2
1
4
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Difficulty:

55% (hard)

Question Stats:

62% (02:12) correct 38% (02:22) wrong based on 21 sessions

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A and B containing spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5 ?

a) 4:3
b) 3:4
c) 5:6
d) 7:9

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Two vessels A and B containing spirit and water mixed in the  [#permalink]

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09 Oct 2019, 10:52
3
2
It will be D
By using Alligation technique, it will show that we require a ratio of 7:9
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Two vessels A and B containing spirit and water mixed in the  [#permalink]

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Updated on: 10 Oct 2019, 12:19
1
5/7 mixed with 7/13 gives 8/13

65/91(A) mixed with 49/91(B)
gives 56/91
Ratio 7/91 : 9/91

Hence 7:9 , D
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Originally posted by saukrit on 09 Oct 2019, 23:23.
Last edited by saukrit on 10 Oct 2019, 12:19, edited 1 time in total.
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Two vessels A and B containing spirit and water mixed in the  [#permalink]

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10 Oct 2019, 08:14
Aulia22 wrote:
A and B containing spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5 ?

a) 4:3
b) 3:4
c) 5:6
d) 7:9

Posted from my mobile device

A 5/7 -------------B 7/13

----------C 8/13

1/13 ------------ 5/7 -8/13 = 9/13*7
7--------------------9

IMO D
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Re: Two vessels A and B containing spirit and water mixed in the  [#permalink]

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10 Oct 2019, 09:21
saukrit wrote:
5/7 mixed with 7/13 gives 8/13

65/91(A) mixed with 49/91(B)
gives 56/91
Ratio 7/91 : 9:91

Hence 7:9 , D

how did you get 56/91 ??
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Re: Two vessels A and B containing spirit and water mixed in the  [#permalink]

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10 Oct 2019, 13:27
Aulia22 wrote:
A and B containing spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5 ?

a) 4:3
b) 3:4
c) 5:6
d) 7:9

Posted from my mobile device

—— 5/7 ———— 7/13 ——
————— 8/13 —————
— (8/13-7/13) — (5/7-8/13)—
—— 1/13 ———— 9/91 ——

Ratio = 1/13 : 9/91 = 7:9
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Re: Two vessels A and B containing spirit and water mixed in the  [#permalink]

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12 Oct 2019, 17:05
1
Aulia22 wrote:
A and B containing spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5 ?

a) 4:3
b) 3:4
c) 5:6
d) 7:9

Posted from my mobile device

We can let 5x and 2x be the amount of spirit and water in mixture A and let 7y and 6y be the amount of spirit and water in mixture B. The new mixture will contain (5x + 7y) spirit and (2x + 6y) water, and the spirit : water ratio will be 8:5. Thus, we can create the equation:

(5x + 7y)/(2x + 6y) = 8/5

5(5x + 7y) = 8(2x + 6y)

25x + 35y = 16x + 48y

9x = 13y

x/y = 13/9

Therefore, the ratio of the two mixtures A and B is (7x)/(13y) = (7/13) * (x/y) = (7/13) * (13/9) = 7/9.

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Re: Two vessels A and B containing spirit and water mixed in the   [#permalink] 12 Oct 2019, 17:05
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