Question

A balloon of total load of 2000 kg moves down with acceleration 2.5m/s2

Answer 1

2000g-F=2000(2.5)
F=15000N
now u want it to move upwards with 2.5m/s²
F-mg=m(2.5)
F=m(12.5)
15000/12.5=m
m=1200
hence 800kg should be removed
option c
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Answer 2

here we use the concept of Pseudo force.
   when the body moves upward then
  F = m(g +a ) 
and when the body moves downward then.
  F = m'(g -a) 
 m' = m(g - a)/(g+a) = 2000×7.5/12.5 = 1200 Kg 
hence when we removed (2000-1200) Kg then that body moves in downward direction with same acceleration.

e.g answer is option (c)