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    Question

    Rajan scored 25% higher marks in Social Studies than in

    Science. If the average score he achieved across Social Studies, Science, and Arts is 89, and he obtained 96 marks in Arts, determine his score in Science.
    A 78 marks Correct Answer Incorrect Answer
    B 84 marks Correct Answer Incorrect Answer
    C 86 marks Correct Answer Incorrect Answer
    D 82 marks Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total marks scored by Rajan in Social studies, Science, and Arts = 89 × 3 = 267 So, marks scored by Rajan in Social studies and Science = 267 – 96 = 171 Let the marks obtained by Rajan in science be ‘x’. So, marks obtained by Rajan in social studies = 1.25x So, x + 1.25x = 171 2.25x = 171 x = 171/2.25 x = 76 So, marks obtained by Rajan in Science = 76 marks. 

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