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A compound 'M' is to be created, one unit of which consists of 3 units of 'X', 4 units of 'Y' and 6 units of 'Z'.  1 unit of X is made by A and B in the ratio 5:7 respectively, 1 unit of Y is made by B and C in the ratio 2:3 respectively, and 1 unit of Z is made by A and D in the ratio 1:4 respectively. What is the approximate percentage contribution of A in 1 unit of M?
  • a)
    18.84%
  • b)
    20.87%
  • c)
    22.3%
  • d)
    24.1%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A compound M is to be created, one unit of which consists of 3 units o...
The ratio of A, B, C and D in X, Y and Z is given to be
Since 1 unit of M has 3X, 4Y and 6Z, we can show the contribution of A, B, C and D in 1 unit of M or 3 units of X, 4 units of Y and 6 units of Z.
Therefore 1 unit of M has 147/60​ units of A, 201​/60 units of B, 12/5​ units of C and 24/5​ units of D.
Also, the total quantity of 1 unit of M= (3+4+6) units= 13 units.
.'. Percentage contribution of A in 1 unit of M = 
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Most Upvoted Answer
A compound M is to be created, one unit of which consists of 3 units o...
Given information:
- 1 unit of M consists of 3 units of X, 4 units of Y, and 6 units of Z.
- 1 unit of X is made by A and B in the ratio 5:7.
- 1 unit of Y is made by B and C in the ratio 2:3.
- 1 unit of Z is made by A and D in the ratio 1:4.

We need to find the approximate percentage contribution of A in 1 unit of M.

Let's first calculate the total contribution of A in 1 unit of X:
- Since 1 unit of X is made by A and B in the ratio 5:7, we can say that A contributes (5/12)th of 1 unit of X.
- Therefore, the contribution of A in 1 unit of X is (5/12) * 1 = 5/12.

Now, let's calculate the total contribution of A in 1 unit of Y:
- Since 1 unit of Y is made by B and C in the ratio 2:3, we can say that B contributes (2/5)th of 1 unit of Y.
- Therefore, the contribution of B in 1 unit of Y is (2/5) * 1 = 2/5.
- Now, since 1 unit of Z is made by A and D in the ratio 1:4, we can say that A contributes (1/5)th of 1 unit of Y.
- Therefore, the contribution of A in 1 unit of Y is (1/5) * 1 = 1/5.

Now, let's calculate the total contribution of A in 1 unit of Z:
- Since 1 unit of Z is made by A and D in the ratio 1:4, we can say that A contributes (1/5)th of 1 unit of Z.
- Therefore, the contribution of A in 1 unit of Z is (1/5) * 1 = 1/5.

Now, let's calculate the total contribution of A in 1 unit of M:
- 1 unit of M consists of 3 units of X, 4 units of Y, and 6 units of Z.
- Therefore, the contribution of A in 1 unit of M can be calculated as:
(Contribution of A in 1 unit of X * Number of units of X in 1 unit of M) +
(Contribution of A in 1 unit of Y * Number of units of Y in 1 unit of M) +
(Contribution of A in 1 unit of Z * Number of units of Z in 1 unit of M)

= (5/12 * 3) + (1/5 * 4) + (1/5 * 6)
= 15/12 + 4/5 + 6/5
= 5/4 + 4/5 + 6/5
= (25 + 16 + 24) / 20
= 65 / 20
= 13 / 4

Therefore, the approximate percentage contribution of A in 1 unit of M is:
(Contribution of A in 1 unit of M / Total units in 1 unit of M
Free Test
Community Answer
A compound M is to be created, one unit of which consists of 3 units o...
The ratio of A, B, C and D in X, Y and Z is given to be
Since 1 unit of M has 3X, 4Y and 6Z, we can show the contribution of A, B, C and D in 1 unit of M or 3 units of X, 4 units of Y and 6 units of Z.
Therefore 1 unit of M has 147/60​ units of A, 201​/60 units of B, 12/5​ units of C and 24/5​ units of D.
Also, the total quantity of 1 unit of M= (3+4+6) units= 13 units.
.'. Percentage contribution of A in 1 unit of M = 
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A compound M is to be created, one unit of which consists of 3 units of X, 4 units of Y and 6 units of Z. 1 unit of X is made by A and B in the ratio 5:7 respectively, 1 unit of Y is made by B and C in the ratio 2:3 respectively, and 1 unit of Z is made by A and D in the ratio 1:4 respectively. What is the approximate percentage contribution of A in 1 unit of M?a)18.84%b)20.87%c)22.3%d)24.1%Correct answer is option 'A'. Can you explain this answer?
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A compound M is to be created, one unit of which consists of 3 units of X, 4 units of Y and 6 units of Z. 1 unit of X is made by A and B in the ratio 5:7 respectively, 1 unit of Y is made by B and C in the ratio 2:3 respectively, and 1 unit of Z is made by A and D in the ratio 1:4 respectively. What is the approximate percentage contribution of A in 1 unit of M?a)18.84%b)20.87%c)22.3%d)24.1%Correct answer is option 'A'. 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 A compound M is to be created, one unit of which consists of 3 units of X, 4 units of Y and 6 units of Z. 1 unit of X is made by A and B in the ratio 5:7 respectively, 1 unit of Y is made by B and C in the ratio 2:3 respectively, and 1 unit of Z is made by A and D in the ratio 1:4 respectively. What is the approximate percentage contribution of A in 1 unit of M?a)18.84%b)20.87%c)22.3%d)24.1%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A compound M is to be created, one unit of which consists of 3 units of X, 4 units of Y and 6 units of Z. 1 unit of X is made by A and B in the ratio 5:7 respectively, 1 unit of Y is made by B and C in the ratio 2:3 respectively, and 1 unit of Z is made by A and D in the ratio 1:4 respectively. What is the approximate percentage contribution of A in 1 unit of M?a)18.84%b)20.87%c)22.3%d)24.1%Correct answer is option 'A'. Can you explain this answer?.
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