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    Question

    The profit on selling a book is 30%, and that on a pen is

    20%. If profit on selling 2 books and 4 pens is Rs. 52, and on selling 3 books and 5 pens is Rs. 74, what is the cost price of a book?
    A Rs.20 Correct Answer Incorrect Answer
    B Rs.56 Correct Answer Incorrect Answer
    C Rs.40 Correct Answer Incorrect Answer
    D Rs.60 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let CP of a book = 100x

    Let CP of a pen = 100y

    SP of book = 130x, SP of pen = 120y

    2(130x) + 4(120y) – 2(100x) – 4(100y) = 52

    60x + 80y = 52 ……… (1)

    3(130x) + 5(120y) – 3(100x) – 5(100y) = 74

    90x + 100y = 74 ……… (2)

    (1) × 5 → 300x + 400y = 260

    (2) × 4 → 360x + 400y = 296

    Subtract:

    60x = 36 ⇒ x = 0.6

    So, CP of book = 100x = Rs. 60

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