Question : Incomes of x and y are in the ratio 4 : 3. Their expenditures are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of x is:
Option 1: Rs. 8,000
Option 2: Rs. 6,000
Option 3: Rs. 2,000
Option 4: Rs. 4,000
Correct Answer: Rs. 8,000
Solution :
Let the incomes of x and y be $4x$ and $3y$, respectively.
According to the question,
$\frac{(4x – 3200)}{(3x – 3200)} = \frac{12}{7}$
⇒ $28x-22400=36x-38400$
⇒ $8x=16000$
$\therefore x=2000$
So, income of x $= 4x = 4 ×2000 = 8000$
Hence, the correct answer is Rs. 8,000.
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