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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


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

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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