A man read $$\frac{2}{5}$$ th of a book on the first day. He read $$\frac{1}{3}$$ rd more on second day than he read in the first day. 15 pages were left for the third day. The number of pages in the book is -

Solution (By Examveda Team)

$$\eqalign{ & {\text{Accroding to question}} \cr & ({\text{P are the pages)}} \cr & \Rightarrow {\text{P}} - \frac{2}{5}{\text{P}} - \frac{8}{{15}}{\text{P}} = 15, \cr & \because \left[ {\frac{8}{{15}} = \frac{2}{5} \times \frac{4}{3}} \right] \cr & \Rightarrow \frac{{15{\text{P}} - {\text{6P}} - 8{\text{P}}}}{{15}} = 15 \cr & \Rightarrow {\text{P}} = 225{\text{ pages}} \cr} $$