What will be the Original Number? If

A number is first decreased by 20 %. The decreased number is then increased by 20 %. The resulting number is less than the original number by 20. Then the original number is

  1. 200
  2. 400
  3. 500
  4. 600
Manish Listener Asked on 16th June 2015 in Maths.
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1 Answer(s)

Answer: (3) 500
Explanation:-
Let be the original number is X
According to the question,
X – X x 20/100 = X – X/5
= 4X/5
Again, 20% increase  then, value of the number
4X/5 + 4X x 20/5 x 100 = 4X/5 + 4X/25
= 24X/25
Resulting number is less than the original number by 20.
Then, 24X/25 = X – 20
X – 24X/25 = 20
X = 25 x 20
X = 500
Hence, the answer is (3) 500.

Anurag Mishra Professor Answered on 17th June 2015.
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