Private tuition in Kolkata is an old arrangement and it mostly runs on the tutor coming to the house, which usually means a standing weekly slot rather than a few sessions bolted on before the exams. The north-south metro makes Dum Dum or Tollygunge to the centre far more workable than the road distance suggests, while New Town and Rajarhat sit outside that spine and are best taken as a block if you take them at all. Bengali-medium state-board homes and English-medium ICSE homes both post here, so settle which one you are walking into before the first class.
The arrangement is usually longer than the problem that prompted it. A tutor is taken on for the session rather than for one bad term, frequently for more than one subject in the same house, and in the younger classes for most subjects at once. That is steady work, but it means the questions that decide whether it goes well are dull ones: how many days a week, which subjects, whether it continues through the pujas and the winter break, and what is expected of you in the weeks the school is running its own exams.
From Class 9 the work splits by subject, and by Class 11 you are teaching to a particular Higher Secondary or ISC paper rather than to a class — the two are set and marked differently enough that families ask which one you have taught before. Madhyamik and the Higher Secondary exams pull the heaviest demand into the months ahead of them. At the senior end some enquiries come from students already preparing for WBJEE or NEET, and there what is wanted is problem practice and doubt-clearing, not the chapter taught over again.