$$1.\overline {27} $$   in the form $$\frac{{\text{p}}}{{\text{q}}}$$ is equal to :

A. $$\frac{127}{100}$$

B. $$\frac{73}{100}$$

C. $$\frac{14}{11}$$

D. $$\frac{11}{14}$$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & 1.\overline {27} \, = \frac{{127 - 1}}{{99}}{\text{ = }}\frac{{126}}{{99}}{\text{ = }}\frac{{14}}{{11}} \cr & {\text{ }}\therefore {\text{ }}\frac{{\text{p}}}{{\text{q}}} = \frac{{14}}{{11}} \cr} $$