Ricoh G900 has a 20.0MP 1/2.3 (6.17 x 4.55 mm ) sized BSI-CMOS sensor . On the other hand, Fujifilm XP150 has a 14.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CMOS sensor .
Ricoh G900's sensor provides 6MP more than Fujifilm XP150's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the G900 and XP150 sensor size comparison.
Ricoh G900 and Fujifilm XP150 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.