Question
In a test, P got 35% of total marks and failed by 30
marks while Q got 46% of total marks which is 20 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 = 0.35x Therefore, passing marks of the test = 0.35x + 35 Marks scored by Q = 0.46x Also, passing marks of the test = 0.46x – 20 Therefore, 0.35x + 35 = 0.46x – 20 Or, 0.11x = 55 Or, x = 55/0.11 = 500 Therefore, total marks of the test = 520
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