Look for a great value on a used Sony RX100 version 1 (model DSCRX100/B) at Amazon (worth the price premium over a used Canon S110, both introduced in 2012).

Sony RX100 camera version I (2012) weighs 8.5 oz and has a 28-100mm equivalent lens with f/1.8-4.9 brightest aperture from wide to tele, with close focus/macro distance 5 cm. It fits nicely into Tamrac Digital 1 Photo Bag with extra Wasabi Power NPBX1 batteries.

The earlier Sony RX100 camera version II (2013, 10 oz) has a tilting LCD, one stop better ISO sensitivity than version I, and a flash mount.

In its favor, Canon G7X has brighter lens from 24-50mm equiv (up to 2/3 stop better), longer zoom 24-100mm equiv (versus 24-70mm), touchscreen and LCD that flips 180-degrees for selfies, in a body having the same weight, size and sensor, capturing similar image quality in studio comparisons.

Compared to Sony RX100 III, the rival Canon PowerShot G7X camera has no viewfinder, poor battery life, unreliable focus and poor manual focus magnification.Adds a Nuetral Density (ND) filter, great for allowing slow shutter speeds (such as to blur moving water) in bright sunlight.Tilts its 3″ LCD further to a full 180 degrees.Adds a pop-up SVGA OLED electronic viewfinder with 1.44M dots!.

(Zoom reach was shortened from 3.6x to 2.9x, but generous 20 megapixels allow much cropping for a good digital zoom.) Significantly sharpens its 70mm telephoto, which is now brightened to f/2.8.Widens its angle of view to 24mm (with brightest aperture f/1.8).Sony Cyber-shot DSC-RX100 version III Digital Camera

Best camera 2015 under 250