Question
The monthly incomes of A and B are in the ratio of 5:6.
A's monthly savings are 50% higher than B's monthly savings, while A's monthly expenditure equals B's monthly savings. Additionally, B's monthly expenditure is Rs. 10,000 more than A's. Determine the difference in their monthly incomes.Solution
Let the monthly savings of B = Rs. x So the monthly savings of A = Rs. 1.5x Monthly expenditure of A = Rs. x Monthly expenditure of B = Rs. x + 10000 According to question: (1.5x + x)/(x + x + 10000) = 5/6 2.5x/ (2x + 10000) = 5/6 15x = 10x + 50000 5x = 50000, x = 10000 Monthly income of A = 2.5 × 10000 = Rs. 25,000 Monthly income of B = 2 × 10000 + 10000 = Rs. 30,000 So the desired difference = 30000 – 25000 = Rs. 5,000
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