Question
In an assessment, Harsh scored 38 marks less than
Simran. Simran scored 28 more marks than Alok. Kunal scored 100 marks which is 23 marks more than Harsh. Divya’s score is 25 less than the maximum marks of the test. Om, who scored 20 marks less than Alok in the first test which was of 140 marks, has to get an average score of at least 70% in two tests. If the second test carrying 170 marks, what percentage of marks should he score in the second test to get the overall average score? (Calculate approximate value)Solution
ATQ, Harsh’s score = Kunal's score - 23 = 100 - 23 = 77 Simran’s score = Harsh's score + 38 = 77 + 38 = 115 Alok’s score = Simran's score - 28 = 115 - 28 = 87 Om’s score in the first test = Alok's score - 20 = 87 - 20 = 67 Total maximum marks of tests = 140 + 170 = 310 Om has to score 70% of 310 = 310 × (70/100) = 217 marks Remaining required marks = 217 - 67 = 150 Required % = (150/170) × 100 = 88.2353% or 88%
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