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    Question

    A pen costs Rs. 6 each, and a marker costs Rs. 5 each. A

    person purchased some pens and markers for a total of Rs. 100. In how many ways could he have bought the two items?
    A 5 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the number of Pen and Marker bought be ‘p’ and ‘b’, respectively According to the question, 6p + 5b = 100 Since, 5b and 100 both are multiples of 5  therefore, ‘p’ must be a multiple of 5 Therefore, possible values of p = 0, 5, 10, 15 And, corresponding values of b = 20, 14, 8, 2 Therefore, he could have bought the items in 4 ways.

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