Aadi can do a piece of work in 12 days alone, Bunny can do the same work in 16 days alone. After Aadi has been working for 5 days and Bunny for 7 days, Charan finishes it in 14 days. In how many days will Charan alone be able to do the work?

Let number of days Charan can do the same work alone is 'd' days.

According to the given data,

$\frac{5}{12} + \frac{7}{16} + \frac{14}{d} = 1\frac{14}{d} = 1 - \frac{20 + 21}{48}\frac{14}{d} = \frac{48 - 41}{48}d = \frac{14 x 48}{7}d = 96 \mathrm{days}$

Therefore, Charan alone can complete the work in 96 days.