Q. The stock of Company A lost 3.25% today to $34.83. What was the opening price of the stock in the beginning of the day?Answer:
Understand the problem: Understand the problem.We know the closing price of the stock after a 3.25% decrease, which is $34.83. We need to find the opening price before this decrease occurred.
Represent closing price: Represent the closing price as 96.75% of the opening price.Since the stock lost 3.25%, it means that the closing price is 100%−3.25%=96.75% of the opening price.
Convert to decimal: Convert the percentage to a decimal to use in calculations. 96.75% as a decimal is 0.9675.
Set up equation: Set up the equation to find the opening price.Let the opening price be represented by ' extit{x}'. Then, 0.9675×x=$(34.83).
Solve for opening price: Solve for 'x' to find the opening price.x=0.9675extextdollar34.83
Perform division: Perform the division to find the opening price. x≈$(36.00) (rounded to two decimal places)
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