Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

What is the single discount equivalent to a discount series of 40% and 20%?Options are:1)50%,2)52%,3)48%,4)55%

What is the single discount equivalent to a discount series of 40% and 20%?

Options are: (1) 50%, (2) 52%, (3) 48%, (4) 55%

7 Answers

Relevance
  • 1 decade ago
    Favourite answer

    Start at 100

    Take 40% off and you are left with 60

    take 20% off 60 (12) and you are left with 48

    So the single discount is 52. (100-48)

  • ?
    Lv 7
    1 decade ago

    A discount series presumably means a first discount of 40% on price x and then a second discount of 20% on the discounted price. If so, we can write

    Total discount = 40 + (100 - 40) x 20/100

    = 40 + 60 x 20 / 100 = 40 + 12 = 52 percent.

  • 1 decade ago

    40% and 20%?

    after the first discount price=60/100=.60

    after the second discount price=(80/100)(60/100)=.48

    if the original cost=1, we have a total discount of 1-.48=.52

    so % of discount=.52*100=52%

    (2) 52% is right

  • 1 decade ago

    If you get a 40% discount off of full price (100%),

    .40 * 1.00 = .40

    you are paying only 60%. If you take an additional 20%, that only comes off the 60%.

    .20 * .60 = .12

    you only get an additional 12%

    40% + 12% = 52%

  • What do you think of the answers? You can sign in to give your opinion on the answer.
  • 1 decade ago

    Of course the effective discount is 52%

  • 1 decade ago

    Let x = base amount; d = discount

    1st discount:

    d = x * 40%

    d = 0.4x

    2nd discount:

    d = 20% * (x - [ x * 40%])

    d = 20% * (x - 0.4x)

    d = 20% * 0.6x

    d = 0.12x

    Sum of 1st and 2nd discounts:

    d = 0.4x + 0.12x

    d = 0.52x

    The answer therefore is option (2) or 52%.

  • Anonymous
    1 decade ago

    Let original value of item = $100.

    40% off : Item = $60

    Further 20% off: Item = $48

    Therefore, the end result has the equivilant of 52% off.

Still have questions? Get answers by asking now.