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    Question

    Rohit Sharma has an average score of 80 runs in 150

    innings. The highest runs scored by him in an innings exceed his lowest score by 200 runs. If the runs scored in these two innings are removed, then his average decreases by 2. Find the highest runs scored by him in an innings.
    A 328 Correct Answer Incorrect Answer
    B 480 Correct Answer Incorrect Answer
    C 242 Correct Answer Incorrect Answer
    D 220 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Let the highest and lowest runs scored by Rohit Sharma be ‘x’ and ‘y’ respectively.

    Total runs scored by him in 150 innings = 150 × 80 = 12000

    Runs scored by him in 148 innings = (80 - 2) × 148 = 78 × 148 = 11544

    So, x + y = 12000 – 11544 = 456

    And, x – y = 200

    So, x = (456 + 200)/2 = 328

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