Quant Exam  >  Quant Questions  >  An alloy contains iron, copper and zinc in th... Start Learning for Free
An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloy
  • a)
    1/8 kg
  • b)
    1/10 kg
  • c)
    1/12 kg
  • d)
    1/14 kg
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another...
Answer – c) 1/12 kg Explanation : I:C:Z = 3:4:2 (in first alloy) and C:Z:T = 10:5:3 Equal quantities is taken. So, I:C:Z = 6:8:4 in first alloy and C:Z:T = 10:5:3 I = 6
C = 8 + 10 = 18
Z = 4+5 = 9
T = 3
So weight of tin = 3/36 = 1/12
View all questions of this test
Most Upvoted Answer
An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another...
Given:
- Alloy 1 contains iron, copper, and zinc in the ratio of 3:4:2
- Alloy 2 contains copper, zinc, and tin in the ratio of 10:5:3

To find:
- Weight of tin per kg in the new alloy formed by melting equal quantities of both alloys

Approach:
1. Find the weight of each element in Alloy 1 and Alloy 2.
2. Find the total weight of the alloys after melting equal quantities.
3. Calculate the weight of tin per kg in the new alloy.

Calculation:
Alloy 1: Iron : Copper : Zinc = 3 : 4 : 2
Let the total weight of Alloy 1 be 9x (assuming x as the common ratio).
- Weight of iron = 3x
- Weight of copper = 4x
- Weight of zinc = 2x

Alloy 2: Copper : Zinc : Tin = 10 : 5 : 3
Let the total weight of Alloy 2 be 18y (assuming y as the common ratio).
- Weight of copper = 10y
- Weight of zinc = 5y
- Weight of tin = 3y

Mixing the alloys:
Since equal quantities of both alloys are melted, the total weight of the new alloy will be the sum of the weights of Alloy 1 and Alloy 2.
Total weight of the new alloy = 9x + 18y

Calculating the weight of tin per kg in the new alloy:
The weight of tin per kg in the new alloy can be calculated by dividing the weight of tin by the total weight of the new alloy and then multiplying by 1000 to convert it into kg.
Weight of tin per kg in the new alloy = (3y / (9x + 18y)) * 1000

Simplification:
To simplify the expression, we can divide both the numerator and denominator by 3.
Weight of tin per kg in the new alloy = (y / (3x + 6y)) * 1000

Given that the weight of tin per kg in the new alloy is 1/12 kg:
(y / (3x + 6y)) * 1000 = 1/12
12y = 3x + 6y
6y = 3x
y = x/2

Since y = x/2, it means that the ratio of the common ratio of Alloy 2 to the common ratio of Alloy 1 is 1/2.

Conclusion:
The weight of tin per kg in the new alloy is 1/12 kg. Therefore, the correct answer is option (c) 1/12 kg.
Explore Courses for Quant exam
An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An alloy contains iron, copper and zinc in the ratio of 3:4:2. Another alloy contains copper, zinc and tin in the ratio of 10:5:3. If equal quantities of both alloys are melted, then weight of tin per kg in the new alloya)1/8 kgb)1/10 kgc)1/12 kgd)1/14 kge)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev