Question
In a test, P got 24% of total marks and failed by 35
marks while Q got 44% of total marks which is 22 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 = 0.24x Therefore, passing marks of the test = 0.24x + 35 Marks scored by Q = 0.44x Also, passing marks of the test = 0.44x – 22 Therefore, 0.24x + 35 = 0.44x – 22 Or, 0.2x = 57 Or, x = 57/0.2 = 285 Therefore, total marks of the test = 285
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