I'm earning about 3.7k a month at a location nearer to my house. I have an interview for another job at a further location but the pay is up to 5k. Should I go for the interview even if its further?

Nothing to lose by going for the interview first.

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Ask them the questions that you are looking for: remuneration package.

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And then what is the expected final salary.

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Then you can weigh your options better.

Go for interview first and decide once there is offer. There is no wasted interview unless you already aren't interested in the job, then regardless you don't have to go. I've interviews with a few companies, including Amazon which I failed but still learned tremendously just by thinking about questions they asked.

Here's a viewpoint.... if you forego this other job because of further location, you essentially 'paying' approx $1k+ per month to work nearer your home. That's equivalent to about $12k per year. Gotta decide if it's worth it, either way. Good luck.

Agree with everyone that you should go for the interview first.

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And when the offer comes, I would suggest that you should consider accepting the offer if you are getting paid 15% more than what you are receiving now because a higher base salary will also help you in future salary negotiations (base pay benchmark) for subsequent jobs.