Both Casio EX-10 and Ricoh G700SE have 12.0 MP resolution sensors but Casio EX-10's sensor is 1/1.7-inch (7.44 x 5.58 mm ) and Ricoh G700SE's sensor is 1/2.3-inch (6.17 x 4.55 mm ).
Since Casio EX-10's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Ricoh G700SE.
Below you can see the EX-10 and G700SE sensor size comparison.
As seen above, Casio EX-10 has a 1.5x Larger sensor area than Ricoh G700SE. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.