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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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.