Question : The average of P1, P2, and P3 is 50. If the value of P1 is half of the average, then what is the average of P2 and P3?
Option 1: 55
Option 2: 57.5
Option 3: 63.5
Option 4: 62.5
Correct Answer: 62.5
Solution :
Average = $\frac{\text{Sum of values}}{\text{Number of values}}$
⇒ $\frac{P1 + P2 + P3}{3}$ = 50
⇒ P1 + P2 + P3 = 150
Since P1 is half of the average, P1 = 25
⇒ 25 + P2 + P3 = 150
⇒ P2 + P3 = 125
Now, the average of P2 and P3 = $\frac{P2 + P3}{2}$ = $\frac{125}{2}$ = 62.5
Hence, the correct answer is 62.5.
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