Question
The respective ratio of monthly income of A to monthly
income of B is 6:7, and A’s saving is (100/7)% more than B’s saving. Find the expenditure of A, if the sum of monthly income of A and B is Rs. 52000, and expenditure of B is Rs. 14000.Solution
Let monthly income of A and B be 6x and 7x, respectively. Then, 6x + 7x = 52000 13x = 52000, x = 4000 A’s monthly income = 6x = Rs. 24000 B’s monthly income = 7x = Rs. 28000 Given, expenditure of B = Rs. 14000 So, B’s saving = 28000 – 14000 = Rs. 14000 Then, A’s saving = 14000 + (1/7) × 14000 = 14000 + 2000 = Rs. 16000 A’s expenditure = 24000 – 16000 = Rs. 8000
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