Question : Rohit scored an average of 58 runs in his last five innings. The runs scored by Rohit in the last four innings are 42, 56, 72, and 40. How many runs did Rohit score in the first of these five innings?
Option 1: 80
Option 2: 60
Option 3: 90
Option 4: 40
Correct Answer: 80
Solution :
Given,
The average of the last five innings by Rohit = 58 runs
Runs scored in the last four innings = 42, 56, 72 and 40
We know, Average = $\frac{\text{Sum of all values}}{\text{Number of values}}$
⇒ Total runs scored in last four innings = 42 + 56 + 72 + 40 = 210
Let the runs scored in the first innings be $x$.
⇒ $\frac{210 + x}{5} = 58$
⇒ $210 + x = 58 × 5$
⇒ $x = 290 - 210 = 80$
Hence, the correct answer is 80.
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