John weighs 200 pounds. He lost 10% of his weight.

Then he gained back 10% of his weight. How much
does John weigh now?

3 answers

Your problem states that he weighs 200 pounds.
10% = 10 / 100 = 0.1

John weighs 200 pounds.

He lost 10% of his weight mean:

New weight = 200 * ( 1 - 0.1 ) = 200 * 0 9 = 180 pounds

Then he gained back 10% of his weight mean:

John weigh now = 180 * ( 1 + 0.1 ) = 180 * 1.1 = 198 pounds
Or .10 x 200lbs = 20lbs lost so now he is healthy and weighs 180.
Ooooppps, he went off his diet and gained 10% or .10 x 180 = 18lbs added to 180. He is now unhealthy again and needs to get serious about staying fit.