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    The selling price of 9articles is equal to the cost price of 15 articles. In this transaction there is a:
    Question

    The selling price of 9articles is equal to the cost price of 15 articles. In this transaction there is a:

    A.

    gain of 66.6% nearly

    B.

    loss of 40%

    C.

    loss of 66.6% nearly

    D.

    gain of 40%

    Correct option is A

    Given: 

    Selling price of 9 articles is equal to the cost price of 15 articles.

    Formula Used:

    Profit Percentage=(SCC)×100\text{Profit Percentage} = \left(\frac{S - C}{C}\right) \times 100​​

    Solution:

    Selling price of 9 articles is equal to the cost price of 15 articles.

    So, the equation is:

    9S=15C 

    so  cost  price = 9 unit

    selling price = 15 unit 

    Profit Percentage=(SCC)×100\text{Profit Percentage} = \left(\frac{S - C}{C}\right) \times 100 

    (5311)×100=(533)×100=23×100=66.67% \left(\frac{\frac{5}{3} - 1}{1}\right) \times 100\\ = \left(\frac{5 - 3}{3}\right) \times 100 \\= \frac{2}{3} \times 100\\ = 66.67\%​​

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