Question : The incomes of A and B are in the ratio 4 : 5 and their expenditure are in the ratio 5 : 4, If A saves Rs. 6000 and B saves Rs. 12000, then what will be the income of A?
Option 1: Rs. 18000
Option 2: Rs. 20000
Option 3: Rs. 12000
Option 4: Rs. 16000
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Correct Answer: Rs. 16000
Solution :
Let the incomes of A and B be $4x$ and $5x$ and their expenditures be $5y$ and $4y$ respectively.
We know that:
Income of A – Expenditure = Savings
⇒ $4x - 5y = 6000$.........................(equation 1)
Income of B – Expenditure = Saving
⇒ $5x - 4y = 12000$................................(equation 2)
By solving equation 1 and 2, we get:
$x=4000, y=2000$
Thus, the income of A $=4x=4\times 4000= 16000$
Hence, the correct answer is Rs. 16000.
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