Cost of living in Germany for a family with one kid.

Whether any amount is sufficient or not depends entirely on your lifestyle and spending choices.
You should first figure put how much your take-home pay is, after taxes and other deductions (this depends on your personal situation, so consult a tax adviser - as a first guide approx. 30-40% will be deducted).
Then decide what kind of accommodation you want and what the rent levels are in those respective cities. Also, how long a commute you can accept (rents drop with distance from the centre) and whether you brung your household goods (renting furnished is rare and cost at leat 50% more).
After that, you need to decide whether your kid can join German public school (which is free, but entirely in German, so he/she would lose a year in preparatory classes) or an international school (which might be far from your resudence and costs €1000-1500/month).
And do you need a car? (€200-500/month after the initial cost of buying it.)
After that, €500-800/month per person is sufficient for daily expenses (food, public transport, utilities, clothes and toiletries, occasional entertainment) if you life a moderate lstandard ifestyle (note that ethnic food, incl. Indian, is costly)
This does not include travel, luxuries or savings.