Question

if a person moves from Chennai to Madurai his weight decreases or increases

Answer 1

A moving object will gain the mass. In special relativity physics, mass of an object depends on the velocity of the object:

m' = m/sqrt(1-v^2/c^2); where m' is the mass of the object, m is rest mass (mass of same object when at rest), v is speed of object, c is speed of light.

(Note that an object with any rest mass moving at light's speed will have infinite mass. That is the reason all the particles which move at light's speed are mass-less particles like photons, bosons, etc.)

Weight is the result of external force and is independent of speed of the object. If gravitational field is varied for an object with constant speed, even in that case the weight will change. If gravitational field is constant but object is gaining speed, weight will also change (due to change in mass).

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Answer 2

If a person moves from Chennai to Madurai then no any change is come in his weight.