Question : The monthly incomes of Ravi and Shiv are in the ratio 1 : 2 and their monthly expenditures are in the ratio 1 : 3. If each saves INR 4,000 per month, then find the monthly income of Shiv.
Option 1: INR 16,000
Option 2: INR 18,000
Option 3: INR 14,000
Option 4: INR 20,000
Correct Answer: INR 16,000
Solution :
Let the monthly income of Ravi and Shiv be $x$ and $2x$.
According to the question,
$\frac{x-4000}{2x-4000}=\frac{1}{3}$
⇒ $3x-12000=2x-4000$
⇒ $x=8000$
Thus, the monthly income of Shiv = $2x=2\times8000=16000$
Hence, the correct answer is INR 16,000.
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