Question
The respective ratio of monthly income of A to monthly
income of B is 11:12, and A’s saving is (100/17)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 92000, and expenditure of B is Rs. 14000.Solution
Let monthly income of A and B be 11x and 12x, respectively. Then, 11x + 12x = 92000 23x = 92000, x = 4000 A’s monthly income = 11x = Rs. 44000 B’s monthly income = 12x = Rs. 48000 Given, expenditure of B = Rs. 14000 So, B’s saving = 48000 – 14000 = Rs. 34000 Then, A’s saving = 34000 + (1/17) × 34000 = 34000 + 2000 = Rs. 36000 A’s expenditure = 44000 – 36000 = Rs. 8000
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