Question
In a test, P got 30% of total marks and failed by 45
marks while Q got 40% of total marks which is 21 more than passing marks. Find the total marks of the test.Solution
Let the total marks of the test be βxβ Therefore, marks scored by P = 0.30x Therefore, passing marks of the test = 0.30x + 45 Marks scored by Q = 0.40x Also, passing marks of the test = 0.40x β 21 Therefore, 0.30x + 45 = 0.40x β 21 Or, 0.1x = 66 Or, x = 66/0.1 = 660 Therefore, total marks of the test = 750
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