Anonymous

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%

Relevance

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

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.

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

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%

Of course the effective discount is 52%

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