Question : Sachin Tendulkar has a certain average for 11 innings. In the 12th inning, he scores 120 runs, thereby increasing his average by 5 runs. His new average is:
Option 1: 60
Option 2: 62
Option 3: 65
Option 4: 66
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Correct Answer: 65
Solution :
Runs scored in the 12
th
innings = 120 runs
Let the average in the first 11 innings be $x$.
Total runs in 11 innings = $11 × x$ = $11x$
New average = $x + 5$
New average = $\frac{\text{Total runs in 11 innings + Runs in the 12th innings}}{12}$
⇒ $\frac{11x + 120}{12}$ = $x + 5$
⇒ $12x + 60$ = $11x + 120$
⇒ $x$ = $60$
⇒ New average = 60 + 5 = 65
Hence, the correct answer is 65.
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