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    A vendor bought buttons at 22 for a rupee. How many must he sell for a rupee to gain 10%?
    Question

    A vendor bought buttons at 22 for a rupee. How many must he sell for a rupee to gain 10%?

    A.

    20

    B.

    16

    C.

    19

    D.

    18

    Correct option is A

    Given:

    Buttons bought at 22 for a Rupee

    Formula Used:

    Gain% = GainCP×100\frac{Gain}{CP}\times 100 

    Gain = SP - CP 

    Solution:

    Cost price for 22 buttons = Rs 1

    For a gain of 10%, 22 buttons should sell for 1 + 10% of 1

    So, SP of 22 buttons = Rs1110\frac{11}{10}​​

    For Rs1110\frac{11}{10}​ buttons sold are 22

    For Rs.1 buttons sold = 22×101122\times\frac{10}{11} = 20 

    Thus, To gain 10% , vendor should sell 20 buttons for Rs 1.

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