London Waterloo to London Euston £2
London Euston to london waterloo £2
Total of £4 is this correct?
Then say I wanted to go around London for the day and I got on 14 tubes that would be £28 so wouldn't it be cheaper to get a travel card?
You were told wrong. The price varies by how many zones you travel through. Euston to Waterloo is entirely within Zone 1, and that is £2.30 by Oyster or contactless card. Go further and it will be more.
Where Oyster and contactless differ is on the capping. There is a fares cap on these and once you hit it, you travel free.
Use Oyster and the cap - again if you only travel in Zone 1, more if you go further - is £6.40 for the day. So if you take 14 tubes in one day, it will cost £6.40 on Oyster. (Not that you'd get much time to see anything with spending that much time on the tube!) But not with a contactless card, because the cap is for a WEEK. The weekly cap is £32.10 for Zone 1. You would use that up all in one day, but you could potter around for the rest of the week for free!
TfL have certainly been inventive with Travelcard prices... a day Travelcard is now £12 for anything up to Zones 1-6. So if you're not going out to Zone 6, you'd be a lot better off with Oyster, which is no doubt a deliberate policy to force people on to Oyster. Just another stage in what they've been trying to do for years with making cash fares far more expensive than Oyster.
The full fares table is here so you can see for yourself http://www.tfl.gov.uk/cdn/static/cms/doc...
Firstly, PAMELA is completely mistaken: contactless is exactly the same price as Oyster.
Secondly, you were told wrong; prices are set by zones. All the stations you mention are in zone 1, so the fare for one journey would be £2.30, not £2. If you go further afield, it costs more.
Finally, there is a daily limit. No matter how many journeys you do in a day, it will never cost you more than a one-day travelcard for that combination of zones. Again for zone 1 only that would be £12. If you're travelling every day for a week, it's cheaper to get a weekly travelcard, but you do need an Oyster for that.
Although the information you were given is mostly wrong it is generally cheaper to get a daily or weekly rover card / ticket
it's always cheaper to get an oyster card, it's about half the price!
You were told wrong.