Question
The respective ratio of monthly income of A to monthly
income of B is 5:6, and A’s saving is (100/6)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 55000, and expenditure of B is Rs. 12000.Solution
Let monthly income of A and B be 5x and 6x, respectively. Then, 5x + 6x = 55000 11x = 55000, x = 5000 A’s monthly income = 5x = Rs. 25000 B’s monthly income = 6x = Rs. 30000 Given, expenditure of B = Rs. 12000 So, B’s saving = 30000 – 12000 = Rs. 18000 Then, A’s saving = 18000 + (1/6) × 18000 = 18000 + 3000 = Rs. 21000 A’s expenditure = 25000 – 21000 = Rs. 4000
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