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The highest score in an innings was 3/11 of the total and the next highest was 3/11 of the remainder. If the scores differed by 9, then the total score is ?
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- 99
- 110
- 121
- 132
Correct Option: C
Let total score be N.
Then highest score = 3N/11
Remainder = (N - 3N/11) = 8N/11
Next highest score = 3/11 of 8N/11 = 24N/121
Now, ∵ 3N/11 - 24N/121 = 9
⇒ 9N/121 = 9
∴N = 121