Question

A number is increased by 20 and then decreased by 20%. Th over all increase in percentage is

Answer 1

Answer:

The over all effect is a decrease of 4%.

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Step-by-step explanation:

For the question to make sense, I suspect the increase is 20%  (not just 20).

Start with a number N.

Increase by 20% means we now have

P = N + 20% of N = N + 0.2 N = ( 1 + 0.2 ) N = 1.2 N

Decrease this by 20% means we now

Q = P - 20% of P = P - 0.2 P = ( 1 - 0.2 ) P

  = 0.8 P

  = ( 0.8 ) ( 1.2 ) N

  = 0.96 N

So we have finished with 96% of N.  This is a decrease of 4%.