Railways Exam > Railways Questions > The ratio of the sum of the salaries of A and...
Start Learning for Free
The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?
- a)72000
- b)60000
- c)50000
- d)86400
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The ratio of the sum of the salaries of A and B to the difference of t...
Let the salaries of A, B and C are A, B and C respectively.
Applying componendo and dividendo,
⇒ A ∶ B ∶ C = 36 ∶ 30 ∶ 25
Applying componendo and dividendo,
⇒ A ∶ B ∶ C = 36 ∶ 30 ∶ 25
Let A = 36x, B = 30x and C = 25x
Given A + B + C = 182000
⇒ 91x = 182000
⇒ x = 2000
∴ B = 30 × 2000 = Rs. 60000
Most Upvoted Answer
The ratio of the sum of the salaries of A and B to the difference of t...
Given:
- The ratio of the sum of A and B's salaries to the difference of their salaries is 11:1.
- The ratio of the sum of B and C's salaries to the difference of their salaries is also 11:1.
- A's salary is the highest and C's salary is the lowest.
- The total of all their salaries is Rs. 1,82,000.
To find: B's salary.
Let's assume the salaries of A, B, and C as A, B, and C respectively.
The first ratio gives us:
(A + B)/(A - B) = 11/1
We can cross multiply to get:
11(A - B) = A + B
Expanding the equation:
11A - 11B = A + B
Combining like terms:
10A = 12B
Dividing both sides by 12:
A = (6/5)B ...(Equation 1)
Similarly, the second ratio gives us:
(B + C)/(B - C) = 11/1
Cross multiplying:
11(B - C) = B + C
Expanding:
11B - 11C = B + C
Combining like terms:
10B = 12C
Dividing both sides by 12:
B = (6/5)C ...(Equation 2)
We know that A is the highest salary and C is the lowest salary. So, A > B > C.
Now, let's find the values of A, B, and C using the given total of all their salaries:
A + B + C = 1,82,000
Substituting the values of A and B from equations 1 and 2:
(6/5)B + B + C = 1,82,000
(11/5)B + C = 1,82,000
Since A is the highest, let's assume A = 5x (where x is a constant).
Substituting A = 5x in equation 1:
5x = (6/5)B
B = (25/6)x
Substituting A = 5x in the total salary equation:
5x + (25/6)x + C = 1,82,000
(30/6)x + (25/6)x + C = 1,82,000
(55/6)x + C = 1,82,000
Since C is the lowest, let's assume C = y (where y is a constant).
Substituting C = y in the total salary equation:
(55/6)x + y = 1,82,000
Now, we have two equations:
(55/6)x + y = 1,82,000 ...(Equation 3)
B = (25/6)x ...(Equation 4)
To find the value of B, we need to solve equations 3 and 4 simultaneously.
From equation 4, we can express x in terms of B:
(25/6)x = B
x = (6/25)B
Substituting this value of x in equation 3:
(55/6)(6/25)B + y = 1,82,000
(55/25)B + y = 1,82,000
11
- The ratio of the sum of A and B's salaries to the difference of their salaries is 11:1.
- The ratio of the sum of B and C's salaries to the difference of their salaries is also 11:1.
- A's salary is the highest and C's salary is the lowest.
- The total of all their salaries is Rs. 1,82,000.
To find: B's salary.
Let's assume the salaries of A, B, and C as A, B, and C respectively.
The first ratio gives us:
(A + B)/(A - B) = 11/1
We can cross multiply to get:
11(A - B) = A + B
Expanding the equation:
11A - 11B = A + B
Combining like terms:
10A = 12B
Dividing both sides by 12:
A = (6/5)B ...(Equation 1)
Similarly, the second ratio gives us:
(B + C)/(B - C) = 11/1
Cross multiplying:
11(B - C) = B + C
Expanding:
11B - 11C = B + C
Combining like terms:
10B = 12C
Dividing both sides by 12:
B = (6/5)C ...(Equation 2)
We know that A is the highest salary and C is the lowest salary. So, A > B > C.
Now, let's find the values of A, B, and C using the given total of all their salaries:
A + B + C = 1,82,000
Substituting the values of A and B from equations 1 and 2:
(6/5)B + B + C = 1,82,000
(11/5)B + C = 1,82,000
Since A is the highest, let's assume A = 5x (where x is a constant).
Substituting A = 5x in equation 1:
5x = (6/5)B
B = (25/6)x
Substituting A = 5x in the total salary equation:
5x + (25/6)x + C = 1,82,000
(30/6)x + (25/6)x + C = 1,82,000
(55/6)x + C = 1,82,000
Since C is the lowest, let's assume C = y (where y is a constant).
Substituting C = y in the total salary equation:
(55/6)x + y = 1,82,000
Now, we have two equations:
(55/6)x + y = 1,82,000 ...(Equation 3)
B = (25/6)x ...(Equation 4)
To find the value of B, we need to solve equations 3 and 4 simultaneously.
From equation 4, we can express x in terms of B:
(25/6)x = B
x = (6/25)B
Substituting this value of x in equation 3:
(55/6)(6/25)B + y = 1,82,000
(55/25)B + y = 1,82,000
11
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer?
Question Description
The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer?.
The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer?.
Solutions for The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs. 1,82,000?a)72000b)60000c)50000d)86400Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup