Percent Increase, Decrease, and Discount

Percent Increase, Decrease, and Discount

Answers

  1. (The amount of increase) = (% Increase) · (The Initial Tuition)

    Note: $26.00  - $20.00 = $6.00 The amount of increase!

    Therefore: \(6 = x \cdot 20\)

    \(\frac{6}{20} = \frac{20x}{20}\)

    \(0.3 = x\)

    \(x=0.3 = 30\%\)

    30% Increase.

  2. (The amount of decrease) = (% Decrease) · (The Initial salary)

    \(=(0.04) \cdot (53,500.00)\)

    \(=2,140,00\) The amount of decrease!

    The "New salary" = (Initial salary) - (The amount of decrease)

    \(=53,500.00-2,140.00\)

    \(=51,360.00\) New Salary.

  3. (The amount of discount) = (Original price) - Discounted price)

    \(=54.95 - 32.97\)

    \(=21.98\) The amount of discount.

    (The amount of discount) = (% Discount) · (Original price)

    \(21.98 = x \cdot 54.95\)

    \(\frac{21.98}{54.95} = \frac{<del>54.95</del>x}{<del>54.95</del>}\)

    \(0.4 = x\)

    \(40\% = x\)

    So the percent discount is 40%.