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On Saturday, a shoemaker purchased four different machines. In a nearby factory, he set up his machinery. To run the machines, he employed some workers. On Monday, all four machines went into operation. Every day from Monday through Thursday, all four machines produced a combined 200 pairs of shoes. He named all four machines (M1, M2, M3 and M4). The number of shoes made by M1 every day was thrice that of M3 every day. The number of shoes made by M4 every day was twice that of M2 every day. M2 produced 24%, 12%, 20%, and 30% of the total pair of shoes produced on Monday, Tuesday, Wednesday, and Thursday by the four machines, respectively.
Q. What percentage of the total shoes produced on Wednesday was made by machine M1?
  • a)
    10
  • b)
    18
  • c)
    20
  • d)
    30
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions : Study the following information carefully and answer the ...
From the common explanation, we have

Hence, Option D is correct.
Common explanation:
Every day from Monday through Thursday, all four machines produced a combined 200 pairs of shoes. M2 produced 24%, 12%, 20%, and 36% of the total pair of shoes produced on Monday, Tuesday, Wednesday, and Thursday by the four machines, respectively. The number of shoes made by M4 every day was twice that of M2 every day.

The number of shoes made by M1 every day was thrice that of M3 every day.
Final solution:
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Community Answer
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Calculation of the percentage of shoes produced by machine M1 on Wednesday:
Machine M2 produced 20% of the total pairs of shoes on Wednesday.
Let the total number of pairs of shoes produced on Wednesday be x.

Calculation:
- M2 = 0.20x (20% of x)
- M4 = 2 * M2 = 2 * 0.20x = 0.40x
- M1 = 3 * M3
- M1 + M2 + M3 + M4 = 200 pairs (Given)
Now, we can express M1, M2, M3, and M4 in terms of x:
- M1 = 3 * M3
- M2 = 0.20x
- M3 = ?
- M4 = 0.40x
To find the value of M3, we use the fact that the total number of pairs produced on Wednesday is 200:
- M1 + M2 + M3 + M4 = 200
- 3 * M3 + 0.20x + M3 + 0.40x = 200
- 4 * M3 + 0.60x = 200
- 4 * M3 = 200 - 0.60x
- M3 = (200 - 0.60x) / 4
Once we find the value of M3, we can calculate the percentage of shoes produced by machine M1 on Wednesday:
- Percentage of shoes produced by M1 on Wednesday = (M1 / x) * 100
This calculation will give us the percentage of shoes produced by machine M1 on Wednesday.
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Directions : Study the following information carefully and answer the questions given beside.On Saturday, a shoemaker purchased four different machines. In a nearby factory, he set up his machinery. To run the machines, he employed some workers. On Monday, all four machines went into operation. Every day from Monday through Thursday, all four machines produced a combined 200 pairs of shoes. He named all four machines (M1, M2, M3 and M4). The number of shoes made by M1 every day was thrice that of M3 every day. The number of shoes made by M4 every day was twice that of M2 every day. M2 produced 24%, 12%, 20%, and 30% of the total pair of shoes produced on Monday, Tuesday, Wednesday, and Thursday by the four machines, respectively.Q.What percentage of the total shoes produced on Wednesday was made by machine M1?a)10b)18c)20d)30Correct answer is option 'D'. Can you explain this answer?
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Directions : Study the following information carefully and answer the questions given beside.On Saturday, a shoemaker purchased four different machines. In a nearby factory, he set up his machinery. To run the machines, he employed some workers. On Monday, all four machines went into operation. Every day from Monday through Thursday, all four machines produced a combined 200 pairs of shoes. He named all four machines (M1, M2, M3 and M4). The number of shoes made by M1 every day was thrice that of M3 every day. The number of shoes made by M4 every day was twice that of M2 every day. M2 produced 24%, 12%, 20%, and 30% of the total pair of shoes produced on Monday, Tuesday, Wednesday, and Thursday by the four machines, respectively.Q.What percentage of the total shoes produced on Wednesday was made by machine M1?a)10b)18c)20d)30Correct answer is option 'D'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions : Study the following information carefully and answer the questions given beside.On Saturday, a shoemaker purchased four different machines. In a nearby factory, he set up his machinery. To run the machines, he employed some workers. On Monday, all four machines went into operation. Every day from Monday through Thursday, all four machines produced a combined 200 pairs of shoes. He named all four machines (M1, M2, M3 and M4). The number of shoes made by M1 every day was thrice that of M3 every day. The number of shoes made by M4 every day was twice that of M2 every day. M2 produced 24%, 12%, 20%, and 30% of the total pair of shoes produced on Monday, Tuesday, Wednesday, and Thursday by the four machines, respectively.Q.What percentage of the total shoes produced on Wednesday was made by machine M1?a)10b)18c)20d)30Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : Study the following information carefully and answer the questions given beside.On Saturday, a shoemaker purchased four different machines. In a nearby factory, he set up his machinery. To run the machines, he employed some workers. On Monday, all four machines went into operation. Every day from Monday through Thursday, all four machines produced a combined 200 pairs of shoes. He named all four machines (M1, M2, M3 and M4). The number of shoes made by M1 every day was thrice that of M3 every day. The number of shoes made by M4 every day was twice that of M2 every day. M2 produced 24%, 12%, 20%, and 30% of the total pair of shoes produced on Monday, Tuesday, Wednesday, and Thursday by the four machines, respectively.Q.What percentage of the total shoes produced on Wednesday was made by machine M1?a)10b)18c)20d)30Correct answer is option 'D'. Can you explain this answer?.
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