Sorry to resurrect an older part of the thread --> a 150L geyser with Standing Loss of 2.3kWh that makes it pretty near the 'worst allowable' standing loss of 2.59kwh/24-hours -- anything worse would be illegal I think? By comparison an A-rated geyser (by SANS 151) as below would be more like 0.86kWh/day
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The formula shown gives you Watts - so you need to multiple by 24 and divide by 1000 to get kWh in a day.
We've gone through this in another thread, but despite the 'my bottle lasts 8 months' it may be the change of geyser rather than the fuel that's really making the difference.
19kg of gas costs around R400 - so ultimately you're paying around R20/kg
If properly burned 1kg of gas gives around 10.6kWh of heat
So you're effectively paying R1.88/kWh of heat if you burn 100% of the gas with no other losses.
Just think if you replaced the gas 'element' with an electric one you'd only be paying R1.50ish from Eskom
The only saving grace is that Gas Geysers (in SA anyway) tend to be 'combi' boilers - meaning they boil the water immediately, rather than storing and wasting energy in standing losses. But you can get electric heaters that do the same thing -- although the flow rate would likely be lower.
Ultimately like you've pointed out - the 'saving' all depends on your hot-water consumption. There are no free lunches - you have to get the heat from somewhere to heat your water... although that somewhere can be gas or electric (or solar or 'stealing from outside' - i.e. heat-pump)
After the standing losses, what matters is how much you are using. I expect many people who have changed to gas have also done something to their shower flow rate or time to get the vast majority of savings claimed, either that or they've broken the laws of physics!