If the difference between the reciprocal of a positive proper fraction and fraction itself be $$\frac{{17}}{{72}}$$ , then the fraction is -

A. $$\frac{9}{8}$$

B. $$\frac{8}{9}$$

C. $$\frac{5}{8}$$

D. $$\frac{7}{9}$$

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\text{By option }}\frac{8}{9},{\text{ }} \cr & {\text{Proper fraction = }}\frac{8}{9} \cr & {\text{Its reciprocal = }}\frac{9}{8} \cr & {\text{According to question}} \cr & = \frac{9}{8} - \frac{8}{9} \cr & = \frac{{81 - 64}}{{72}} \cr & = \frac{{17}}{{72}}{\text{ satisfied}} \cr} $$