Question
The respective ratio of monthly income of A to monthly
income of B is 9:10, and A’s saving is (100/11)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 76000, and expenditure of B is Rs. 18000.Solution
Let monthly income of A and B be 9x and 10x, respectively. Then, 9x + 10x = 76000 19x = 76000, x = 4000 A’s monthly income = 9x = Rs. 36000 B’s monthly income = 10x = Rs. 40000 Given, expenditure of B = Rs. 18000 So, B’s saving = 40000 – 18000 = Rs. 22000 Then, A’s saving = 22000 + (1/11) × 22000 = 22000 + 2000 = Rs. 24000 A’s expenditure = 36000 – 24000 = Rs. 12000
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