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Q. Assertion : The apparent weight of a body in an elevator moving with some downward acceleration is less than the actual weight of a body.
Reason : The part of the weight is spent in producing downward acceleration, when body is in elevator.

AIIMSAIIMS 2010Laws of Motion

Solution:

The apparent weight of a body in an elevator moving with downward acceleration a is given by $W = m(g - a)$