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An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 is
- a)8
- b)10
- c)12
- d)15
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The q...
Let X kg of nickel be added to the alloy.
Given, Initial ratio is 5:3:2.
Let the initial weight of copper, zinc and nickel in 100 kg of alloy be 5Y, 3Y and 2Y respectively.
Also, initial weight of alloy = 100 kg
∴ 5Y + 3Y + 2Y = 100 kg
⇒ Y = 10
Since X kg of nickel is added to the alloy, thus
⇒ New weight of nickel = X + 20 kg
Given in question, new ratio after this addition is 5:3:3. On comparing it with the old ratio 5:3:2 we find that the weight of nickel has increased by 10 kg i.e
New weight of nickel = 20 + 10
= 30 kg
∴ X + 20 = 30
⇒ X = 10 kg
Hence, 10 kg of nickel must be added to the alloy to get new ratio of 5:3:3.
Given, Initial ratio is 5:3:2.
Let the initial weight of copper, zinc and nickel in 100 kg of alloy be 5Y, 3Y and 2Y respectively.
Also, initial weight of alloy = 100 kg
∴ 5Y + 3Y + 2Y = 100 kg
⇒ Y = 10
Since X kg of nickel is added to the alloy, thus
⇒ New weight of nickel = X + 20 kg
Given in question, new ratio after this addition is 5:3:3. On comparing it with the old ratio 5:3:2 we find that the weight of nickel has increased by 10 kg i.e
New weight of nickel = 20 + 10
= 30 kg
∴ X + 20 = 30
⇒ X = 10 kg
Hence, 10 kg of nickel must be added to the alloy to get new ratio of 5:3:3.
Most Upvoted Answer
An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The q...
Given:
- The alloy contains copper, zinc and nickel in the ratio of 5:3:2.
- The new ratio required is 5:3:3.
To find:
- The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3.
Solution:
Let the quantity of copper, zinc, and nickel in the alloy be 5x, 3x, and 2x respectively.
So, the total quantity of the alloy = 5x + 3x + 2x = 10x
Given that the required ratio is 5:3:3.
Let the quantity of nickel to be added be y kg.
So, the quantity of copper, zinc, and nickel in the new alloy will be 5x, 3x, and (2x + y) respectively.
According to the new ratio, we have:
5x : 3x : (2x + y) = 5 : 3 : 3
Simplifying this equation, we get:
5(2x + y) = 3(3x)
10x + 5y = 9x
y = 9x - 10x
y = x
Therefore, the quantity of nickel to be added is x kg.
Given that the current quantity of the alloy is 100 kg, which contains 2x kg of nickel.
So, we have:
2x + x = 3x = 2% of 100 kg = 2 kg
Thus, x = 2/3 kg = 0.67 kg.
Therefore, the quantity of nickel (in kg) that must be added to 100 kg of this alloy to have the new ratio 5:3:3 is:
y = x = 0.67 kg, which is approximately equal to 10 kg (rounded off to the nearest integer).
Hence, the correct answer is option (B) 10.
- The alloy contains copper, zinc and nickel in the ratio of 5:3:2.
- The new ratio required is 5:3:3.
To find:
- The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3.
Solution:
Let the quantity of copper, zinc, and nickel in the alloy be 5x, 3x, and 2x respectively.
So, the total quantity of the alloy = 5x + 3x + 2x = 10x
Given that the required ratio is 5:3:3.
Let the quantity of nickel to be added be y kg.
So, the quantity of copper, zinc, and nickel in the new alloy will be 5x, 3x, and (2x + y) respectively.
According to the new ratio, we have:
5x : 3x : (2x + y) = 5 : 3 : 3
Simplifying this equation, we get:
5(2x + y) = 3(3x)
10x + 5y = 9x
y = 9x - 10x
y = x
Therefore, the quantity of nickel to be added is x kg.
Given that the current quantity of the alloy is 100 kg, which contains 2x kg of nickel.
So, we have:
2x + x = 3x = 2% of 100 kg = 2 kg
Thus, x = 2/3 kg = 0.67 kg.
Therefore, the quantity of nickel (in kg) that must be added to 100 kg of this alloy to have the new ratio 5:3:3 is:
y = x = 0.67 kg, which is approximately equal to 10 kg (rounded off to the nearest integer).
Hence, the correct answer is option (B) 10.
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An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer?
Question Description
An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer?.
An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer?.
Solutions for An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer?, a detailed solution for An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5:3:3 isa)8b)10c)12d)15Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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