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If 20% of A = 30% of B = 1/6 of C, then find A ∶ B ∶ C.
- a)12 ∶ 15 ∶ 18
- b)15 ∶ 10 ∶ 18
- c)15 ∶ 12 ∶ 18
- d)18 ∶ 10 ∶ 12
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If 20% of A = 30% of B = 1/6 of C, then find A B C.a)12 15 18b)15 ...
20% of A = 30% of B = 1/6 of C
⇒ 20/100 × A = 30/100 × B = 1/6 × C
⇒ A/5 = 3B/10 = C/6
⇒ A ∶ B ∶ C = 5 ∶ 10/3 ∶ 6 = 15 ∶ 10 ∶ 18
⇒ 20/100 × A = 30/100 × B = 1/6 × C
⇒ A/5 = 3B/10 = C/6
⇒ A ∶ B ∶ C = 5 ∶ 10/3 ∶ 6 = 15 ∶ 10 ∶ 18
Most Upvoted Answer
If 20% of A = 30% of B = 1/6 of C, then find A B C.a)12 15 18b)15 ...
Given:
20% of A = 30% of B = 1/6 of C
To find A, B, and C, we can set up a system of equations and solve for the variables.
Let's assign variables to A, B, and C:
Let A = x
Let B = y
Let C = z
According to the given information:
20% of A = 30% of B
This can be written as:
0.2x = 0.3y
30% of B = 1/6 of C
This can be written as:
0.3y = (1/6)z
Now, we have two equations:
0.2x = 0.3y
0.3y = (1/6)z
Solving for x in terms of y:
0.2x = 0.3y
x = (0.3y) / 0.2
x = (3/2)y
Substituting this value of x in the second equation:
0.3y = (1/6)z
(3/10)y = (1/6)z
y = (10/18)z
y = (5/9)z
Now, we have three equations:
x = (3/2)y
y = (5/9)z
To simplify these equations, let's assume a common denominator of 18:
x = (27/18)y
y = (10/18)z
Simplifying further:
x = (3/2)y
y = (5/9)z
Now, we can substitute the value of y from the second equation into the first equation:
x = (3/2)(5/9)z
x = (15/18)z
x = (5/6)z
So, the values of A, B, and C are:
A = x = (5/6)z
B = y = (5/9)z
C = z
Comparing the options provided, we find that option B: 15 10 18 satisfies the given conditions:
A = (5/6)z = (5/6)(18) = 15
B = (5/9)z = (5/9)(18) = 10
C = z = 18
Therefore, the correct answer is option B: 15 10 18.
20% of A = 30% of B = 1/6 of C
To find A, B, and C, we can set up a system of equations and solve for the variables.
Let's assign variables to A, B, and C:
Let A = x
Let B = y
Let C = z
According to the given information:
20% of A = 30% of B
This can be written as:
0.2x = 0.3y
30% of B = 1/6 of C
This can be written as:
0.3y = (1/6)z
Now, we have two equations:
0.2x = 0.3y
0.3y = (1/6)z
Solving for x in terms of y:
0.2x = 0.3y
x = (0.3y) / 0.2
x = (3/2)y
Substituting this value of x in the second equation:
0.3y = (1/6)z
(3/10)y = (1/6)z
y = (10/18)z
y = (5/9)z
Now, we have three equations:
x = (3/2)y
y = (5/9)z
To simplify these equations, let's assume a common denominator of 18:
x = (27/18)y
y = (10/18)z
Simplifying further:
x = (3/2)y
y = (5/9)z
Now, we can substitute the value of y from the second equation into the first equation:
x = (3/2)(5/9)z
x = (15/18)z
x = (5/6)z
So, the values of A, B, and C are:
A = x = (5/6)z
B = y = (5/9)z
C = z
Comparing the options provided, we find that option B: 15 10 18 satisfies the given conditions:
A = (5/6)z = (5/6)(18) = 15
B = (5/9)z = (5/9)(18) = 10
C = z = 18
Therefore, the correct answer is option B: 15 10 18.
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If 20% of A = 30% of B = 1/6 of C, then find A B C.a)12 15 18b)15 10 18c)15 12 18d)18 10 12Correct answer is option 'B'. Can you explain this answer?
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If 20% of A = 30% of B = 1/6 of C, then find A B C.a)12 15 18b)15 10 18c)15 12 18d)18 10 12Correct 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 If 20% of A = 30% of B = 1/6 of C, then find A B C.a)12 15 18b)15 10 18c)15 12 18d)18 10 12Correct 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 If 20% of A = 30% of B = 1/6 of C, then find A B C.a)12 15 18b)15 10 18c)15 12 18d)18 10 12Correct answer is option 'B'. Can you explain this answer?.
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