Question
The respective ratio of monthly income of A to monthly
income of B is 13:14, and A’s saving is (100/21)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 54000, and expenditure of B is Rs. 7000.Solution
Let monthly income of A and B be 13x and 14x, respectively. Then, 13x + 14x = 54000 27x = 54000, x = 2000 A’s monthly income = 13x = Rs. 26000 B’s monthly income = 14x = Rs. 28000 Given, expenditure of B = Rs. 7000 So, B’s saving = 28000 – 7000 = Rs. 21000 Then, A’s saving = 21000 + (1/21) × 21000 = 21000 + 1000 = Rs. 22000 A’s expenditure = 26000 – 22000 = Rs. 4000
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