Question
The respective ratio of monthly income of A to monthly
income of B is 8:9, and A’s saving is (100/9)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 68000, and expenditure of B is Rs. 18000.Solution
Let monthly income of A and B be 8x and 9x, respectively. Then, 8x + 9x = 68000 17x = 68000, x = 4000 A’s monthly income = 8x = Rs. 32000 B’s monthly income = 9x = Rs. 36000 Given, expenditure of B = Rs. 18000 So, B’s saving = 36000 – 18000 = Rs. 18000 Then, A’s saving = 18000 + (1/9) × 18000 = 18000 + 2000 = Rs. 20000 A’s expenditure = 32000 – 20000 = Rs. 12000
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