You can get the following Dell with a Core i3-5005u and Intel HD 5500 graphics core for $380. The Core i3-5005u has better processing performance than the A8-6410. The Intel HD 5500 is definitely more powerful than the Radeon R5 (Beema) graphics core which is a bit less powerful than the Intel HD 4000 graphics core from 2 generations ago.
For just slightly over your budget you can get the following Dell with an A10-7300 APU for $410. The A10's processing performance should be equal to or perhaps a bit better than the Core i3-5005u. The integrated Radeon R6 (Kaveri) graphics core is somewhat close to a nVidia 720m GPU, but it is more powerful than the Intel HD 5500.