Question
Download Solution PDFThe average per day income of A, B and C is Rs. 45. If the average per day income of A and B is Rs. 40 and that of B and C is Rs. 43, then the per day income of B is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average per day income of A, B, and C = Rs. 45
The average per day income of A and B = Rs. 40
The average per day income of B and C = Rs. 43
Formula Used:
Average = (Sum of incomes) / (Number of people)
Calculation:
Let the per day incomes of A, B, and C be a, b, and c respectively.
From the given data:
⇒ a + b + c = 45 × 3
⇒ a + b + c = 135
⇒ a + b = 40 × 2
⇒ a + b = 80
⇒ b + c = 43 × 2
⇒ b + c = 86
We have the following equations:
1) a + b + c = 135
2) a + b = 80
3) b + c = 86
Subtract equation 2 from equation 1:
⇒ c = 135 - 80
⇒ c = 55
Subtract equation 3 from equation 1:
⇒ a = 135 - 86
⇒ a = 49
Now, using equation 2:
⇒ b = 80 - a
⇒ b = 80 - 49
⇒ b = 31
The per day income of B is Rs. 31.
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