Question : A and B have their monthly incomes in the ratio of 8 : 5, while their monthly expenditures are in the ratio of 5 : 3. If they have saved INR 12,000 and INR 10,000 monthly, respectively, then the difference in their monthly incomes is:
Option 1: INR 52,000
Option 2: INR 42,000
Option 3: INR 44,000
Option 4: INR 46,000
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Correct Answer: INR 42,000
Solution :
Given: Monthly incomes of A and B = 8 : 5
Monthly expenditures = 5 : 3
Savings of A and B = INR 12,000 and INR 10,000
Let the income of A be $8x$ and B's be $5x$.
We know that,
Income – Expenditure = Savings
According to the question,
$\frac{8x - 12000}{5x - 10000} = \frac{5}{3}$
$⇒24x - 36000 = 25x - 50000$
$⇒x = 14000$
The difference in incomes between A and B $=8x - 5x= 3x$
$= 3 \times 14000$ = INR 42,000
Hence, the correct answer is INR 42,000.
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