UPSC CAPF Assistant Commandant Model Paper 2

Given:
Difference of two numbers is 108.
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
⇒ Difference = A – B = 7x – 5x = 2x = 108
⇒ x = 54
Thus, Sum = A + B = 7x + 5x = 12x = 12 × 54 = 648