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Re: An alloy contains zinc, copper and tin in the ratio 2:3:1 and another [#permalink]
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Lets take the LCM of 5, 4, 3, 2, 1 = 60
We can assume that 60 kg of each alloy is mixed to form a new alloy

Weights of elements in Alloy1
Z:C:T = 2:3:1
Weights will be:

Z = 20
C = 30
T = 10

Weights of elements in Alloy2
C:T:L = 5:4:3
Weights will be:

C = 25
T = 20
L = 15

Weight of Lead in alloy3 is 15 and total weight is 120 (60+60)
Weight of lead in per kg of alloy3 = 15/120 = 1/8

Option B
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An alloy contains zinc, copper and tin in the ratio 2:3:1 and another [#permalink]
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SOLUTION:
Refer to the figure attached.
Convert the ratios of the first alloy into 4:6:2 so that the quantities of the alloys are made equal(12 units each).

Thus weight of lead = 3/(12+12) = 3/24 =1/8 kg (Option B)

Hope this helps :thumbsup:
 ­
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Originally posted by CrackverbalGMAT on 19 Dec 2020, 05:56.
Last edited by CrackverbalGMAT on 05 Jun 2024, 05:19, edited 1 time in total.
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Re: An alloy contains zinc, copper and tin in the ratio 2:3:1 and another [#permalink]
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Quote:
An alloy contains zinc, copper and tin in the ratio 2:3:1 and another contains copper, tin and lead in the ratio 5:4:3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

First alloy consists of zinc = 2x, copper = 3x, tin = x, Total = 6x
second alloy consists of: copper = 5y, tin = 4y, led = 3y, total = 12y

as amounts of the two alloys are equal; 6x = 12y
x = 2y

Total amount of third alloy produced = 6x + 12y = 24y [as x = 2y]

Fraction of led out of the total amount produced = 3y/24y = 1/8

B is correct
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An alloy contains zinc, copper and tin in the ratio 2:3:1 and another [#permalink]
Deepakjhamb wrote:
Ans is 1 / 8 as if we mix in equal proportions the % becomes half of combined both

Posted from my mobile device


Deepakjhamb
Can You explain from where are you getting this?
Also why aren't we adding the weight of Lead from both the alloys as 3+2=5/24
I am getting 1/6 as the answer

Thank You
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Re: An alloy contains zinc, copper and tin in the ratio 2:3:1 and another [#permalink]
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Re: An alloy contains zinc, copper and tin in the ratio 2:3:1 and another [#permalink]
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