If The Score Differed by 9, Then the Total Score Is:

The highest score in an inning was 3/11 of the total and the next highest was 3/11 of the remainder. If the  score differed by 9, then the total score is:

  1. 99
  2. 110
  3. 121
  4. 132
Tahir Lecturer Asked on 25th July 2015 in Maths.
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1 Answer(s)

Answer: (3) 121

Explanation:-
Let the total score be X.
The highest score in an inning was 3/11 of the total.
Then, X x 3/11
= 3 X/ 11

And next highest score was 3/11 of the remainder.
Then, Remainder score = X – 3 X / 11
= (11 X – 3 X)/11
= 8 X / 11
3 /11 of remainder,
8 X x 3 / 11 x 11
= 24 X / 121

The score difference by 9,
3 X / 11 – 24 X / 121 = 9
= (11 x 3 X – 24 X) / 121 = 9
= (33 X – 24 X)/121 = 9
= 9 X / 121 = 9
= X / 121 = 1
X = 121

Then, the total score is 121.
Hence, the answer is (3) 121.

Anurag Mishra Professor Answered on 9th August 2015.
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