Practicing Success
Salaries of Ankur and Ankit are in the ratio 3 : 2. If the salaries of each is decreased by Rs 2500, the new ratio becomes 8 : 5. What is the sum of their salaries? |
Rs.7500 Rs.12500 Rs.37500 Rs.28500 |
Rs.37500 |
Let the salary of Ankur = 3x Let the salary of Ankit = 2x Salary decreased by 2500. New ratio = 8 : 5 ATQ, ⇒ \(\frac{ 3x - 2500 }{2x - 2500}\) = \(\frac{ 8 }{5}\) ⇒ \(\frac{ 15x - 12500 }{16x - 20000}\) = 1 ⇒ 15x – 12500 = 16x – 20000 ⇒ x = 7500 Sum of salaries = 3x + 2x = 5x = 5 × 7500 = Rs.37500 |