If a number is increased by 40% and then decreased by a% then the overall percentage change is -2%. Find a.

Question

Please show steps. Thank you

Answer 1

100 increased 40% = 140

decreased by 2% = 98

to go from 140 to 98 means decreased by a% where a = (140-98)/140 = 42/140 = 21/70 = 3/10 = 30%