Correct Answer - Option 4 : 80

**Given : **

A number increased by = 22\(\frac{1}{2}\)%

Result = 98

**Calculation :**

Let the required number be = a

⇒ a + (45/2)/100 of a = 98

⇒ a + 45/(2 × 100) × a = 98

⇒ a + (9a/40) = 98

⇒ (40a + 9a)/40 = 98

⇒ 49a/40 = 98 (cross multiplication) then,

⇒ 49 a = 98 × 40

⇒ a = (98 × 40)/49

⇒ a = 80

**∴ The number is 80**