UPSC Exam > UPSC Questions > Monthly income of E and R are in the ratio 1:...
Start Learning for Free
Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440?
Most Upvoted Answer
Monthly income of E and R are in the ratio 1:3 and their expenses are ...
Given:
- The monthly income of E and R are in the ratio 1:3.
- The expenses of E and R are in the ratio 19:40.
- E saves Rs 18860 less than R.
- The total amount they save is Rs 36020.
Let's assume the monthly income of E as x and the monthly income of R as y.
Income ratio:
The income ratio of E and R is given as 1:3.
So, we can write the equation as:
x/y = 1/3 ----(1)
Expense ratio:
The expense ratio of E and R is given as 19:40.
So, we can write the equation as:
(1/3) * x / (2/5) * y = 19/40
(5/6) * x / y = 19/40
40 * (5/6) * x = 19 * y
(200/6) * x = 19 * y
100/3 * x = 19 * y ----(2)
Savings:
E saves Rs 18860 less than R.
So, we can write the equation as:
y - x = 18860 ----(3)
Total savings:
The total amount they save is Rs 36020.
So, we can write the equation as:
x + y = 36020 ----(4)
Solving equations (1), (2), (3), and (4) simultaneously will give us the values of x and y.
Solution:
- Multiply equation (2) by 3 to eliminate the fractions:
100 * x = (57/3) * y
100 * x = 19 * y ----(5)
- Add equations (5) and (3) to eliminate y:
100 * x + y = 19 * y + y
100 * x + y = 20 * y ----(6)
- Substitute equation (6) into equation (4):
x + (20 * y) = 36020
x + 20y = 36020 ----(7)
- Solve equations (1) and (7) simultaneously:
x/y = 1/3 ----(1)
x + 20y = 36020 ----(7)
Multiplying equation (1) by 20, we get:
20 * (x/y) = 20 * (1/3)
20x/y = 20/3
20x = 20y/3 ----(8)
Substituting equation (8) into equation (7), we get:
(20y/3) + 20y = 36020
20y + 60y = 36020 * 3
80y = 108060
y = 1350
Substituting the value of y in equation (3), we get:
x = y - 18860
x = 1350 - 18860
x = -17510
Since income cannot be negative, the assumed value of x is incorrect.
Hence, there seems to be an error in the given question. The correct options for the income of E and R cannot be determined with the given information.
- The monthly income of E and R are in the ratio 1:3.
- The expenses of E and R are in the ratio 19:40.
- E saves Rs 18860 less than R.
- The total amount they save is Rs 36020.
Let's assume the monthly income of E as x and the monthly income of R as y.
Income ratio:
The income ratio of E and R is given as 1:3.
So, we can write the equation as:
x/y = 1/3 ----(1)
Expense ratio:
The expense ratio of E and R is given as 19:40.
So, we can write the equation as:
(1/3) * x / (2/5) * y = 19/40
(5/6) * x / y = 19/40
40 * (5/6) * x = 19 * y
(200/6) * x = 19 * y
100/3 * x = 19 * y ----(2)
Savings:
E saves Rs 18860 less than R.
So, we can write the equation as:
y - x = 18860 ----(3)
Total savings:
The total amount they save is Rs 36020.
So, we can write the equation as:
x + y = 36020 ----(4)
Solving equations (1), (2), (3), and (4) simultaneously will give us the values of x and y.
Solution:
- Multiply equation (2) by 3 to eliminate the fractions:
100 * x = (57/3) * y
100 * x = 19 * y ----(5)
- Add equations (5) and (3) to eliminate y:
100 * x + y = 19 * y + y
100 * x + y = 20 * y ----(6)
- Substitute equation (6) into equation (4):
x + (20 * y) = 36020
x + 20y = 36020 ----(7)
- Solve equations (1) and (7) simultaneously:
x/y = 1/3 ----(1)
x + 20y = 36020 ----(7)
Multiplying equation (1) by 20, we get:
20 * (x/y) = 20 * (1/3)
20x/y = 20/3
20x = 20y/3 ----(8)
Substituting equation (8) into equation (7), we get:
(20y/3) + 20y = 36020
20y + 60y = 36020 * 3
80y = 108060
y = 1350
Substituting the value of y in equation (3), we get:
x = y - 18860
x = 1350 - 18860
x = -17510
Since income cannot be negative, the assumed value of x is incorrect.
Hence, there seems to be an error in the given question. The correct options for the income of E and R cannot be determined with the given information.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440?
Question Description
Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440?.
Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440?.
Solutions for Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? defined & explained in the simplest way possible. Besides giving the explanation of
Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440?, a detailed solution for Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? has been provided alongside types of Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? theory, EduRev gives you an
ample number of questions to practice Monthly income of E and R are in the ratio 1:3 and their expenses are in the ratio 19:40. E saves Rs 18860 less than R and the total they save Rs 36020. Income of E and R respectively? a- Rs 14200 and Rs 42600 b- Rs 9000 and Rs 2700 c- Rs 10480 and Rs 31440 d- Rs 18000 and Rs 31440? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup