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?
Answer & explanation
Correct answer: option 3
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