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The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
Options:
A .  3/5
B .  3/10
C .  4/5
D .  5/4
Answer: Option C


Let the required fraction be x. Then, 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5


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