Question
A number is first increased by 50% and then decreased by
50%. If the net change in the number is 400, then find the original number.Solution
ATQ, Let the original number be '100a'. Final number = 100a x (150/100) x (50/100) = '75a' Net decrease = 100a - 75a = '25a' Or, 25a = 400 Or, 'a' = 400 / 25 = 16 Therefore, required number = 100a = 16 x 100 = 1600
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