Question
In a test, P got 25% of total marks and failed by 60
marks while Q got 45% of total marks which is 23 more than passing marks. Find the total marks of the test.Solution
Let the total marks of the test be ‘x’ Therefore, marks scored by P = 0.25x Therefore, passing marks of the test = 0.25x + 60 Marks scored by Q = 0.45x Also, passing marks of the test = 0.45x – 23 Therefore, 0.25x + 60 = 0.45x – 23 Or, 0.25x = 83 Or, x = 83/0.20 = 415 Therefore, total marks of the test = 415
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