By mistake, the reciprocal of a positive fraction got typed in place of itself, and thereby its value got reduced by $\frac{175}{4}$%. What was the value of the fraction?
Answer & explanation
Correct answer: option 3
Let Original number = A
ATQ,
A - \(\frac{1}{A}\) = \(\frac{175A}{400}\)
A - \(\frac{1}{A}\) = \(\frac{7A}{16}\)
on solving ,
A = \(\frac{20}{15}\)
A = \(\frac{4}{3}\)