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    Question

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

    shopkeeper is 21:12, respectively while ratio of number of pen to number of pencil sold by the same shopkeeper is 4:11, 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. 21150. Find the number of pen sold by shopkeeper.
    A 195 Correct Answer Incorrect Answer
    B 180 Correct Answer Incorrect Answer
    C 220 Correct Answer Incorrect Answer
    D 240 Correct Answer Incorrect Answer
    E 270 Correct Answer Incorrect Answer

    Solution

    Let, number of book and number of pen sold by shopkeeper be 21x and 12x respectively. Number of pencil sold by shopkeeper = 11/4 × 12x = 33x So, 21x × 40 + 12x × 20 + 33x × 10 = 21150 ⇒ 840x + 240x + 330x = 21150 ⇒ 1410x = 21150 x = 15 Number of pen sold by shopkeeper = 12x = 180

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