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A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is ?
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- 14/45
- 12/65
- 13/45
- 2/7
Correct Option: C
Let the fraction be N.
Then, N / (13/14) - (13/14) x N = 3/65
⇒ 14N/13 - 13N/14 = 3/65
⇒ (196N - 169N)/182 = 3/65
⇒ 27N/182 = 3/65
∴ N = (3 x 182) / (27 x 65) = 14/45
So, correct answer will be (13/14) x (14/45) = 13/45
