Aman, Baman and Daman bought 1, 10 and 25 notebooks in Rs. 14, Rs.130 and Rs. 330 respectively from a stationery shop. In his sales with Aman and Daman, the shopkeeper made a profit of x percent and y percent respectively, where x = 2y. If the shopkeeper bought all the notebooks at the same price, then how much profit percentage did the shopkeeper make in his sales with Baman?

Option 1 -

30

Option 2 -

38

Option 3 -

28

Option 4 -

40

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    a month ago
    Correct Option - 1


    Detailed Solution:

     

    Aman

    Baman

    Daman

    Number of notebook

    1

    10

    25

    Amount

    14

    130

    300

    Profit%

    a percent

     

    b percent

    For Aman,

    SP of 1 book = 14Rs.

    CP of 1 book = 100(100+x)×14

    For Baman,

    SP of 1 book = 12Rs.

    CP of 1 book = 100(100+y)×12

    Price of all notebooks is same, therefore.

    100(100+x)×14 = 100×12100+y

    100 + 7y = 6a

    100 = 12y – 7y; [x=2y]

    5y = 100

    y = 20

    a = 40

    CP each notebook = 100×12100+20 = 10Rs.

    In his sales with Daman, he sold 10 books to her for Rs. 130

    CP of 10books = Rs. 100

    Profit percent = 13010030×100

    =30percent

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