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)?
Answer & explanation
Correct answer: option 2
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