Question
The respective ratio of monthly income of A to monthly income of B is 12:13, and A’s saving is (100/19)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 50000, and expenditure of B is Rs. 7000.
Solution
Let monthly income of A and B be 12x and 13x, respectively. Then, 12x + 13x = 50000 25x = 50000, x = 2000 A’s monthly income = 12x = Rs. 24000 B’s monthly income = 13x = Rs. 26000 Given, expenditure of B = Rs. 7000 So, B’s saving = 26000 – 7000 = Rs. 19000 Then, A’s saving = 19000 + (1/19) × 19000 = 19000 + 1000 = Rs. 20000 A’s expenditure = 24000 – 20000 = Rs. 4000
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