An alloy has 35% of A, 40% of B and 25% of C. In each processing step, the percentage of A and B reduces by 20% and 10% respectively and the percentage of C increases. The weight of the alloy does not change. The process stops only when the percentages of A and B become less than 25% and 33.33% respectively. After how many steps does the process stop and what is the percentage of C at that time?a)2, 44.3b)4, 45.2c)2, 45.2d)3, 44.3Correct answer is option 'C'. Can you explain this answer?

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An alloy has 35% of A, 40% of B and 25% of C. In each processing step, the percentage of A and B reduces by 20% and 10% respectively and the percentage of C increases. The weight of the alloy does not change. The process stops only when the percentages of A and B become less than 25% and 33.33% respectively. After how many steps does the process stop and what is the percentage of C at that time?

a)
2, 44.3
b)
4, 45.2
c)
2, 45.2
d)
3, 44.3

Correct answer is option 'C'. Can you explain this answer?

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An alloy has 35% of A, 40% of B and 25% of C. In each processing step,...

The percentages of A, B and C in successive steps are given below:

Since the required percentages for A and B are obtained after step 2, the process stops here.
At this step, percentage of C is 45.2.
Hence, option 3.

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An alloy has 35% of A, 40% of B and 25% of C. In each processing step,...

Problem Analysis:
Let's assume the weight of the alloy to be 100 units. Initially, the alloy contains 35 units of A, 40 units of B, and 25 units of C. In each processing step, the percentage of A and B reduces by 20% and 10% respectively, and the percentage of C increases.

Solution Steps:

Step 1:
In the first step, the percentage of A reduces by 20%. Therefore, the remaining percentage of A is 35% - (20% of 35%) = 28%.

Similarly, the percentage of B reduces by 10%. Therefore, the remaining percentage of B is 40% - (10% of 40%) = 36%.

Step 2:
In the second step, the percentage of A reduces by 20%. Therefore, the remaining percentage of A is 28% - (20% of 28%) = 22.4%.

Similarly, the percentage of B reduces by 10%. Therefore, the remaining percentage of B is 36% - (10% of 36%) = 32.4%.

Step 3:
In the third step, the percentage of A reduces by 20%. Therefore, the remaining percentage of A is 22.4% - (20% of 22.4%) = 17.92%.

Similarly, the percentage of B reduces by 10%. Therefore, the remaining percentage of B is 32.4% - (10% of 32.4%) = 29.16%.

Since the percentage of A is less than 25% and the percentage of B is less than 33.33% after the third step, the process stops at this point.

Final Answer:
The process stops after 3 steps, and the percentage of C at that time is 100% - (17.92% + 29.16%) = 52.92%.

Therefore, the correct answer is option C: 2, 45.2.

Answered by Wizius Careers · View profile

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An alloy has 35% of A, 40% of B and 25% of C. In each processing step, the percentage of A and B reduces by 20% and 10% respectively and the percentage of C increases. The weight of the alloy does not change. The process stops only when the percentages of A and B become less than 25% and 33.33% respectively. After how many steps does the process stop and what is the percentage of C at that time?a)2, 44.3b)4, 45.2c)2, 45.2d)3, 44.3Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An alloy has 35% of A, 40% of B and 25% of C. In each processing step, the percentage of A and B reduces by 20% and 10% respectively and the percentage of C increases. The weight of the alloy does not change. The process stops only when the percentages of A and B become less than 25% and 33.33% respectively. After how many steps does the process stop and what is the percentage of C at that time?a)2, 44.3b)4, 45.2c)2, 45.2d)3, 44.3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An alloy has 35% of A, 40% of B and 25% of C. In each processing step, the percentage of A and B reduces by 20% and 10% respectively and the percentage of C increases. The weight of the alloy does not change. The process stops only when the percentages of A and B become less than 25% and 33.33% respectively. After how many steps does the process stop and what is the percentage of C at that time?a)2, 44.3b)4, 45.2c)2, 45.2d)3, 44.3Correct answer is option 'C'. Can you explain this answer?.

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