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    Question

    A consultant charges Rs. 50 per km for cab travel and

    Rs. 30 per km for auto travel. In a week, he travelled 150 km in total and claimed Rs. 5400. How many km did he travel by cab?
    A 45 Correct Answer Incorrect Answer
    B 50 Correct Answer Incorrect Answer
    C 60 Correct Answer Incorrect Answer
    D 73 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let cab distance = x km Let auto distance = y km x + y = 150 тАжтАжтАжтАжтАжтАж..(1) 50x + 30y = 5400 From (1), x = 150 тАУ y So, 50(150 тАУ y) + 30y = 5400 7500 тАУ 50y + 30y = 5400 20y = 2100 y = 105 And, x = 150 тАУ 105 = 45

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