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    Question

    Ratio of number of book to number of pen sold by a

    shopkeeper is 13:8, respectively, while ratio of number of pen to number of pencil sold by the same shopkeeper is 4:13, respectively. If price of each book, each pen and each pencil is Rs. 40, Rs. 20, and Rs. 10 respectively then revenue generated by shopkeeper is Rs. 20680. Find the number of pen sold by shopkeeper.
    A 176 Correct Answer Incorrect Answer
    B 238 Correct Answer Incorrect Answer
    C 200 Correct Answer Incorrect Answer
    D 240 Correct Answer Incorrect Answer
    E 165 Correct Answer Incorrect Answer

    Solution

    Given: Books : Pens = 13 : 8 Pens : Pencils = 4 : 13 Let Books = 13k and Pens = 8k Also, Pens = 4m and Pencils = 13m Equate Pens: 8k = 4m m = 2k So Pencils = 13m = 13(2k) = 26k Now revenue: Revenue = 40(B) + 20(P) + 10(C) = 40(13k) + 20(8k) + 10(26k) = 520k + 160k + 260k = 940k Given revenue = 20680: 940k = 20680 k = 20680 / 940 = 22 Pens sold: P = 8k = 8 × 22 = 176

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