Question : The salaries of Ankur and Ankit are in the ratio 3 : 2. If the salaries of each are decreased by INR 2,500, the new ratio becomes 8 : 5. What is the sum of their salaries?
Option 1: INR 7,500
Option 2: INR 12,500
Option 3: INR 37,500
Option 4: INR 28,500
Correct Answer: INR 37,500
Solution :
Initial ratio of salaries = 3 : 2
Let the salaries be $3x$ and $2x$.
Amount decreased from each = INR 2500
According to the question,
$\frac{3x - 2500}{2x - 2500}=\frac{8}{5}$
⇒$15x - 12500 = 16x - 20000$
⇒ $x = 7500$
$\therefore$ Sum of their salaries $=3x + 2x = 5x= 5 × 7500= 37500$
Hence, the correct answer is INR 37,500.
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