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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