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21 March, 05:53

You purchased Butterfly Wing Corp. stock exactly one year ago at a price of $77.66 per share. Over the past year, the stock paid dividends of $2.92 per share. Today, you sold your stock and earned a total return of 15.84 percent. What was the price at which you sold the stock

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  1. 21 March, 09:49
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    The shares were bought at a price of $26.981

    Explanation:

    The price of the share be represented as "y "

    Capital gain = (y - 77.6)

    Dividend = 2.92

    Total return in dollar = (y - 77.6) + 2.92

    total return in % = 15.84%

    Return (%) = ((y - 77.6) + 2.92) / 77.66 = 15.84%

    ((y - 77.6) + 2.92) / 77.66 = 0.1584

    cross multiplying

    ((y - 77.6) + 2.92) = 77.66 * 0.1584

    y - 14.68 = 12.301344

    Collecting like terms

    y = 26.98

    The shares were bought at a price of $26.981
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