A number is increased by 30%, then decreased by 25% and then further increased by 25%.  What is the net decrease or increase percentage in the number (correct to the nearest integer)?

22% increase

Let the Number is = a

ATQ

⇒ a × [1+\(\frac{30}{100}\)] × [1-\(\frac{25}{100}\)] × [1+\(\frac{25}{100}\)]

⇒ a × \(\frac{13}{10}\) × \(\frac{3}{4}\) × \(\frac{5}{4}\)

⇒ a × \(\frac{195}{160}\)

If earlier number (a) was 160 then it becomes 195, hence number increased by 35

⇒ Increased percentage =  \(\frac{35}{160}\) × 100 = 21.875% or 22% increase