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30 vote

A batsman has a certain average runs for 15 innings. In the 16th inning he made a score of 60 runs and thereby decrease in average by 4. His average after 16th inning is :

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A batsman has a certain average runs for 15 innings. In the 16th inning he made a score of 60 runs and thereby decrease in average by 4. His average after 16th inning is :
1). 127
2). 145
3). 120
4). 210


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1 answers

25 vote
Answered by on | Votes 25 |

Let the batsman’s average runs for 15 innings be x.

Then, the total runs scored by batsman in 15 innings = 15x

Since, he scored 60 runs in his 16th inning

Total runs scored by batsman in 16 innings = 15x + 60

Thus, according to question

New average for 16 innings = (x - 4) runs

Therefore, x - 4 = (15x + 60)/16

⇒16(x - 4) = 15x + 60

⇒16x - 64 = 15x + 60

∴ x = 124

∴ New average for 16th innings = (x - 4) runs = 124 - 4 = 120 runs.
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