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If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is

  • a)
    3.5

  • b)
    2

  • c)
    2.5

  • d)
    3

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If a certain weight of an alloy of silver and copper is mixed with 3 k...
Let the alloy contain x Kg silver and y kg copper 
Now when mixed with 3Kg Pure silver 

we get 10x+30 =9x+9y+27
9y-x=3    (1)
Now as per condition 2
silver in 2nd alloy = 2(0.9) =1.8

we get 21y-4x =3   (2)
solving (1) and (2) we get y= 0.6 and x =2.4
so x+y = 3
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Most Upvoted Answer
If a certain weight of an alloy of silver and copper is mixed with 3 k...
Given Information:
- One mixture contains silver and copper in an unknown ratio.
- When mixed with 3 kg of pure silver, the resulting alloy is 90% silver.
- When mixed with 2 kg of an alloy with 90% silver, the resulting alloy is 84% silver.

Let's solve the problem step by step:

Step 1: Set up the equations
Let x be the weight of the initial alloy in kg.
Equation 1: (0.9)(x + 3) = 0.9x + 3 (the resulting alloy with 3 kg of pure silver)
Equation 2: (0.9)(x + 2) + 0.1(2) = 0.84(x + 2) (the resulting alloy with 2 kg of 90% silver)

Step 2: Solve the equations
Solving Equation 1:
0.9x + 2.7 = 0.9x + 3
2.7 = 3
This equation is inconsistent.
Solving Equation 2:
0.9x + 1.8 + 0.2 = 0.84x + 1.68
0.9x + 2 = 0.84x + 1.68
0.06x = 0.32
x = 5.33 kg

Step 3: Final calculation
Since x is the weight of the initial alloy, it cannot be 5.33 kg as it doesn't fit the conditions. Therefore, the correct answer is the closest option, which is 3 kg (Option D).
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If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, isa)3.5b)2c)2.5d)3Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, isa)3.5b)2c)2.5d)3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, isa)3.5b)2c)2.5d)3Correct answer is option 'D'. Can you explain this answer?.
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