UPSC Exam > UPSC Questions > The sum of income of A and B is more than tha... Start Learning for Free
The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?
- a)A
- b)B
- c)C
- d)D
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The sum of income of A and B is more than that of C and D taken togeth...
(A + B) > (C + D) … (1)
(A + C) = (B + D) … (2)
2A = B + D … (3)
From (2) and (3), A = C
So from (1), B > D
⇒ B > A = C > D
(A + C) = (B + D) … (2)
2A = B + D … (3)
From (2) and (3), A = C
So from (1), B > D
⇒ B > A = C > D
Most Upvoted Answer
The sum of income of A and B is more than that of C and D taken togeth...
Given Information:
- The sum of income of A and B is more than that of C and D taken together.
- The sum of income of A and C is the same as that of B and D taken together.
- A earns half as much as the sum of the income of B and D.
Analysis:
We need to determine whose income is the highest among A, B, C, and D. Let's analyze the given information step by step to find the answer.
Step 1: Income Comparison between A+B and C+D
The sum of income of A and B is more than that of C and D taken together. Let's assume the income of A and B as X and the income of C and D as Y.
So, we have the equation: X > Y
Step 2: Income Comparison between A+C and B+D
The sum of income of A and C is the same as that of B and D taken together. Let's assume the income of A and C as P and the income of B and D as Q.
So, we have the equation: P = Q
Step 3: Income Comparison between A and B+D
A earns half as much as the sum of the income of B and D. Let's assume the income of A as R.
So, we have the equation: R = (B + D)/2
Solving the Equations:
Now, let's solve the equations to find the values of X, Y, P, Q, and R.
From Step 1: X > Y
From Step 2: P = Q
From Step 3: R = (B + D)/2
Comparing the Incomes:
We need to compare the incomes of A, B, C, and D to determine whose income is the highest.
From Step 3, we can rewrite the equation as: B + D = 2R
Comparing the incomes:
- A's income = R
- B's income = B
- C's income = P - A (From Step 2)
- D's income = Q - B (From Step 2)
Comparing the incomes, we have:
- A's income = R
- B's income = B
- C's income = P - R (From Step 2)
- D's income = Q - B (From Step 2)
Conclusion:
From the given information and the comparisons made, we can conclude that B's income is the highest among A, B, C, and D.
Hence, the correct answer is option 'B'.
- The sum of income of A and B is more than that of C and D taken together.
- The sum of income of A and C is the same as that of B and D taken together.
- A earns half as much as the sum of the income of B and D.
Analysis:
We need to determine whose income is the highest among A, B, C, and D. Let's analyze the given information step by step to find the answer.
Step 1: Income Comparison between A+B and C+D
The sum of income of A and B is more than that of C and D taken together. Let's assume the income of A and B as X and the income of C and D as Y.
So, we have the equation: X > Y
Step 2: Income Comparison between A+C and B+D
The sum of income of A and C is the same as that of B and D taken together. Let's assume the income of A and C as P and the income of B and D as Q.
So, we have the equation: P = Q
Step 3: Income Comparison between A and B+D
A earns half as much as the sum of the income of B and D. Let's assume the income of A as R.
So, we have the equation: R = (B + D)/2
Solving the Equations:
Now, let's solve the equations to find the values of X, Y, P, Q, and R.
From Step 1: X > Y
From Step 2: P = Q
From Step 3: R = (B + D)/2
Comparing the Incomes:
We need to compare the incomes of A, B, C, and D to determine whose income is the highest.
From Step 3, we can rewrite the equation as: B + D = 2R
Comparing the incomes:
- A's income = R
- B's income = B
- C's income = P - A (From Step 2)
- D's income = Q - B (From Step 2)
Comparing the incomes, we have:
- A's income = R
- B's income = B
- C's income = P - R (From Step 2)
- D's income = Q - B (From Step 2)
Conclusion:
From the given information and the comparisons made, we can conclude that B's income is the highest among A, B, C, and D.
Hence, the correct answer is option 'B'.
 | Explore Courses for UPSC exam |  |
Top Courses for UPSCView all
Top Courses for UPSC
Question Description
The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? for UPSC 2026 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer?.
The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? for UPSC 2026 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? 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 The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?a)Ab)Bc)Cd)DCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice UPSC tests.
| Explore Courses for UPSC exam | |
Top Courses for UPSC
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
