Question : The annual incomes of Amit and Veeri are in the ratio of 3 : 2, while the ratio of their expenditures is 5 : 3. If at the end of the year, each saves INR 1,000, the annual income of Amit is:
Option 1: INR 9,000
Option 2: INR 8,000
Option 3: INR 7,000
Option 4: INR 6,000
Correct Answer: INR 6,000
Solution :
Given: The annual incomes of Amit and Veer = 3 : 2
Expenditures = 5 : 3
Savings = INR 1,000
Let the annual income of Amit and Veer be $3x$ and $2x$.
We know that,
Income – Saving = Expenditure
According to question: $\frac{3x – 1000}{2x-1000} = \frac{5}{3} $
⇒ $9x - 3000 = 10x - 5000$
⇒ $x=2000$
The annual income of Amit = 3 × 2000 = INR 6,000
Hence, the correct answer is INR 6,000.
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