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The average monthly income of A and B is Rs. 5000. The average monthly income of B and C is Rs. 7250 and the average monthly income of A and C is Rs. 8500. Find the monthly income of A ?
  • a)
    Rs. 2250
  • b)
    Rs. 3250
  • c)
    Rs. 5250
  • d)
    Rs. 6250
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average monthly income of A and B is Rs. 5000. The average monthly...
From given data
Total income earned by A and B (A + B) = 2 × 5000 = Rs. 10000  …equation 1
Total income earned by B and C (B + C) = 2 × 7250 = Rs. 14500  … equation 2
Total income earned by A and C (A + C) = 2 × 8500 = Rs. 17000  … equation 3
By adding the three equations, we get
⇒ 2(A + B + C) = 41500
⇒ A + B + C = 20750  … equation 4
Now subtract eq 2 from equation 4, we get
⇒ A = 20750 – 14500 = 6250
∴ Monthly income of A = Rs. 6250
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Most Upvoted Answer
The average monthly income of A and B is Rs. 5000. The average monthly...
To find the monthly income of A, we need to solve this problem using the concept of averages.

Let's assume the monthly income of A, B, and C as A, B, and C respectively.

- The average monthly income of A and B is Rs. 5000.
- The average monthly income of B and C is Rs. 7250.
- The average monthly income of A and C is Rs. 8500.

We can set up the following equations based on the given information:

1. (A + B) / 2 = 5000 -- Equation 1
2. (B + C) / 2 = 7250 -- Equation 2
3. (A + C) / 2 = 8500 -- Equation 3

Now, let's solve these equations simultaneously to find the values of A, B, and C.

From Equation 1, we can express B in terms of A:
B = 10000 - A -- Equation 4

Substituting Equation 4 into Equation 2:
(10000 - A + C) / 2 = 7250
10000 - A + C = 14500
C = A + 4500 -- Equation 5

Substituting Equation 5 into Equation 3:
(A + A + 4500) / 2 = 8500
2A + 4500 = 17000
2A = 17000 - 4500
2A = 12500
A = 12500 / 2
A = 6250

Therefore, the monthly income of A is Rs. 6250.

Hence, the correct answer is option 'D' Rs. 6250.
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The average monthly income of A and B is Rs. 5000. The average monthly income of B and C is Rs. 7250 and the average monthly income of A and C is Rs. 8500. Find the monthly income of A ?a)Rs. 2250b)Rs. 3250c)Rs. 5250d)Rs. 6250Correct answer is option 'D'. Can you explain this answer?
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The average monthly income of A and B is Rs. 5000. The average monthly income of B and C is Rs. 7250 and the average monthly income of A and C is Rs. 8500. Find the monthly income of A ?a)Rs. 2250b)Rs. 3250c)Rs. 5250d)Rs. 6250Correct answer is option 'D'. 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 The average monthly income of A and B is Rs. 5000. The average monthly income of B and C is Rs. 7250 and the average monthly income of A and C is Rs. 8500. Find the monthly income of A ?a)Rs. 2250b)Rs. 3250c)Rs. 5250d)Rs. 6250Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average monthly income of A and B is Rs. 5000. The average monthly income of B and C is Rs. 7250 and the average monthly income of A and C is Rs. 8500. Find the monthly income of A ?a)Rs. 2250b)Rs. 3250c)Rs. 5250d)Rs. 6250Correct answer is option 'D'. Can you explain this answer?.
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