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Increasing a number by 20% then decreasing the new number by 20%, is the same as multiplying the original number by _______?

2006-08-31 23:57:58 · 13 answers · asked by black_jab90 1 in Education & Reference Homework Help

13 answers

0.96
if x is original no. then when u increase by 20% = 1.2x
Now reduce this number by 20% means 1.2x - [(20/100)1.2x] = 1.2x-(0.2*1.2x)= 1.2x-0.24x=0.96x

2006-09-01 00:08:23 · answer #1 · answered by manu 2 · 0 0

1

2006-09-01 07:02:17 · answer #2 · answered by sach 2 · 1 0

Let's say we have a number, x, which is 100%.
Increasing x by 20% makes it 120%.

Then we have y, another 100%.
Decreasing it by 20% makes it 80%.

So basically, this question is actually asking for 80% out of 120%.
(80/100)*(120/100)=96%
NOT 100%+20%-20%=100%

2006-09-01 07:19:17 · answer #3 · answered by zirah_ffira 2 · 0 0

take the number as 100,incresing it by 20%,it'll be 120, now decreasing by 20% makes it 96.... so to make 100 96 we shud multiply 0.96 to ...... similarly try out taking.. some x the answer will be the same 0.96

2006-09-01 07:04:36 · answer #4 · answered by Anonymous · 0 0

x = original number
y = number to multiply x by to get 20% decrease of the 20% increased x

[ (x + .2x) - .2(x + .2x) ] = x * y

[ 1.2x - .24x ] = x * y

.96x = x * y

.96 = y

2006-09-01 07:32:43 · answer #5 · answered by Chris F 1 · 0 0

96%.

Here is how it works. Increasing 10 by 20% equals 12. (10 * 1.2)

Decreasing 12 by 20% equals 9.6. (12 * .8)

9.6 divided by 10 equals .96 or 96%.

2006-09-01 07:06:55 · answer #6 · answered by Steve 6 · 1 0

the answer is 0.96
ex: 10 + 20%=12
12 - 20%=9.6
10 * X = 9.6 =====> X=0.96

2006-09-01 07:13:22 · answer #7 · answered by Tzone 1 · 0 0

One. It's the same number.

100 * 20% = 2,000.
2,000 / 20% = 100.

100 * 1 = 100.


Edit: Wait, I just did it and it doesn't work. I think the answer is 0.5.

2006-09-01 07:03:07 · answer #8 · answered by Anonymous · 0 0

1 its the exact same thing

2006-09-01 07:04:51 · answer #9 · answered by rebekah u 5 · 0 0

96% or 0.96 or ~1

2006-09-01 08:19:20 · answer #10 · answered by kiko 2 · 0 0

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