I shot my first bull elk with an old style 140 gr. X-bullet from my 7mm Mag at about 250 yards. The bull died quickly, but the bullet didn't exit. I personally like exit wounds. I switched to the blue 160 gr. Barnes X bullets and killed everything with them. That high sectional density always penetrates and helps make up for imperfect shot angle.
I now shoot a 7mm WSM. I also switched to 168 gr. Berger VLD, and love them. They cost less and shoot better. Elk take one or two hesitant steps and fall down. It works just fine on javelina and everything in between. I shoot mild loads at 2850 fps. The only complaint I've ever heard about them is that the tip can get closed by handling, and then will pencil through. Before the hunt I use a pin drill to make sure the tips are open. Bergers shoot better than any bullet I've used except maybe the old A-max.
You can shoot lighter bullets at higher velocity and probably accomplish the same thing, but at the cost of more powder and shorter case life. With my short magazine, and the bullet loaded long, my rifle is a single shot. I use the Barnes as backup, but haven't actually shot any of them in years. Out to 200 yards, they shoot close enough to the same spot. Past 200 yards, I've always had time to load another Berger, but never needed to if my first shot was good.