The ratio of the accelerations for a solid sphere (mass ‘m’ and radius ‘R’) rolling down an incline of angle ‘θ’ without slipping and slipping down the incline without rolling is:

5 : 7

For rolling motion without slipping on inclined plane acceleration is given by :

a_rolling = \(\frac{g sin \theta}{1 + \frac{K^2}{R^2}}\)

for solid sphere, \(\frac{k^2}{R^2}= \frac{2}{5}\)

And for slipping motion on inclined plane : 

a_slipping = g sin \(\theta\)

Ratio : \(\frac{a_{rolling}}{a_{slipping}} = \frac{5}{7}\)