Question
In a test, P got 25% of total marks and failed by 45 marks while Q got 45% of total marks which is 26 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 + 45 Marks scored by Q = 0.45x Also, passing marks of the test = 0.45x – 26 Therefore, 0.25x + 45 = 0.45x – 26 Or, 0.2x = 71 Or, x = 71/0.2 = 355 Therefore, total marks of the test = 355
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