Correct Answer - Option 2 : 136
Given:
Difference between two numbers is 112.
Calculation:
Let the two numbers be A and B. A decreased by 30% and B is increased by 19%.
According to statement, A × 70/100 = B × 119/100
⇒ A × 70 = B × 119
⇒ A/B = 119/70 = 17/10
Let A be 17x and B be 10x
Difference = A – B = 17x – 10x = 7x = 112
⇒ x = 112/7 = 16
Bigger number = 17x = 17 × 16 = 272
50% of bigger number = 272 × (50/100) = 136
∴ 136