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# The average of batsmen up to certain number of innings was 45. In the

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The average of batsmen up to certain number of innings was 45. In the  [#permalink]

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20 Feb 2019, 05:03
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Difficulty:

45% (medium)

Question Stats:

64% (01:47) correct 36% (02:22) wrong based on 28 sessions

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The average of batsmen up to certain number of innings was 45. In the next inning he was out for a duck and his average reduced to 40.5. Find the total number of innings played by him including the latest inning.

A. 5
B. 6
C. 8
D. 10
E. 12

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Re: The average of batsmen up to certain number of innings was 45. In the  [#permalink]

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20 Feb 2019, 05:31

assume ininngs = x

then total runs = 45*x

after the next innings

total innings = x+1

total runs = 40.5*(x+1)

now he got out for duck so total runs remain same
so
45*x = 40.5 *(x+1)

which gives x = 9

so the total including the last = 10

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Re: The average of batsmen up to certain number of innings was 45. In the  [#permalink]

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20 Feb 2019, 09:41
Bunuel wrote:
The average of batsmen up to certain number of innings was 45. In the next inning he was out for a duck and his average reduced to 40.5. Find the total number of innings played by him including the latest inning.

A. 5
B. 6
C. 8
D. 10
E. 12

so sum of x matches before last match = 45x
and last match batsman got 0 runs
so
45x+0/ x+1 = 40.5
so x= 9
total matches played = 9+1 ; 10
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Re: The average of batsmen up to certain number of innings was 45. In the  [#permalink]

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22 Feb 2019, 16:34
Bunuel wrote:
The average of batsmen up to certain number of innings was 45. In the next inning he was out for a duck and his average reduced to 40.5. Find the total number of innings played by him including the latest inning.

A. 5
B. 6
C. 8
D. 10
E. 12

We can let x = the number of innings he played before the latest inning and create the equation:

40.5 = 45x/(x + 1)

40.5x + 40.5 = 45x

40.5 = 4.5x

x = 9

Thus he played for 10 innings, including the one in which he was out for a duck.

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Re: The average of batsmen up to certain number of innings was 45. In the   [#permalink] 22 Feb 2019, 16:34
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