A number is first increased by 10% and then reduced by 10%. The number

Question

Philoid · Accepted Answer

Let the number = Z

10% increased by number = Z (1 + 10/100)

= 11Z/10

Now,

10% decreased by number = 11Z/10 (1 - 10/100)

= (11Z/10) (90/100)

= 99Z/100

∴ difference = Z – 99Z/100

= Z/100

Percentage of decreases = Z/100 × 1/Z × 100

= 1%