Correct Answer - Option 3 : 250
Given:
Difference between two numbers is 100.
Calculation:
Let the two numbers be A and B. A decreased by 15% and B is increased by 19%.
According to statement, A × (85/100) = B × (119/100)
⇒ A × 5 = B × 7
⇒ A/B = 7/5
Let A be 7x and B be 5x
Now, difference = A – B = 7x – 5x = 2x = 100
⇒ x = 100/2 = 50
Smaller number = B = 5x = 5 × 50 = 250
∴ Smaller number is 250