Question
The respective ratio of monthly income of A to monthly
income of B is 10:11, and A’s saving is (100/13)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 84000, and expenditure of B is Rs. 31000.Solution
Let monthly income of A and B be 10x and 11x, respectively. Then, 10x + 11x = 84000 21x = 84000, x = 4000 A’s monthly income = 10x = Rs. 40000 B’s monthly income = 11x = Rs. 44000 Given, expenditure of B = Rs. 31000 So, B’s saving = 44000 – 31000 = Rs. 13000 Then, A’s saving = 13000 + (1/13) × 13000 = 13000 + 1000 = Rs. 14000 A’s expenditure = 40000 – 14000 = Rs. 26000
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