Question
The respective ratio of monthly income of A to monthly
income of B is 7:8, and A’s saving is (100/8)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 51000, and expenditure of B is Rs. 12000.Solution
Let monthly income of A and B be 7x and 8x, respectively. Then, 7x + 8x = 51000 15x = 51000, x = 3400 A’s monthly income = 7x = Rs. 23800 B’s monthly income = 8x = Rs. 27200 Given, expenditure of B = Rs. 12000 So, B’s saving = 27200 – 12000 = Rs. 15200 Then, A’s saving = 15200 + (1/8) × 15200 = 15200 + 1900 = Rs. 17100 A’s expenditure = 23800 – 17100 = Rs. 6700
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