Algebra:
The price of an item is increased by 45%; by what percent must we reduce the price to get back to 50% of the original price? (algebraic solution)

Question

Algebra:
The price of an item is increased by 45%; by what percent must we reduce the price to get back to 50% of the original price? (algebraic solution)

anonymous · Answer

you have any more details?

anonymous · Answer

no, thats the only information stated in the question.

anonymous · Answer

iam so sorry iam tryin my best its killing me

anonymous · Answer

lol, its ok :) thnx for trying xD

anonymous · Answer

bump it i asked someone for help

parthkohli · Answer

If it's increased by 45%, then it'd be selling at 145% of its original price.

anonymous · Answer

its not "bumpable" yet, but i thing the person you sent came :) Thanks xD

parthkohli · Answer

Lol I ain't a person ;P I am THE PARTH

anonymous · Answer

Sorry, my mistake :P  Lol xD

anonymous · Answer

so u need the original price? ive had a hard time trying to figure it out

parthkohli · Answer

$\Large \color{Black}{\Rightarrow x + {45x \over 100}  = {145x \over 100} }$

anonymous · Answer

yea, but its 50% of the original price...its an annoying question an di have an exam tommorow :P

parthkohli · Answer

To get 50x/100, we must reduce 95%...hmm

parthkohli · Answer

$\Large \color{Black}{\Rightarrow {145x \over 100} - {50x \over 100} = {95x \over 100} }$

parthkohli · Answer

I'm not sure about that...let's take a price.

anonymous · Answer

is X the original price?

anonymous · Answer

yeah...i think... :/

anonymous · Answer

Wait no yeah it is :)

parthkohli · Answer

Let's say it is 100 dollars. Then it'd be increased by 45% and that'd become 145.

$\Large \color{Black}{\Rightarrow 145 - {x \over 100} = 50 }$

$\Large \color{Black}{\Rightarrow -{x \over 100} = -95 }$

I was correct :D x/100 = 95 so 95 percent

parthkohli · Answer

Who gave you the medal, orpheus?

anonymous · Answer

good luck with that test tomorrow :)

anonymous · Answer

Maniqueen

anonymous · Answer

i dun deserve it anyway

anonymous · Answer

but thanks

parthkohli · Answer

Wait a sec

$\Large \color{Black}{\Rightarrow 145 \times {x \over 100} = 50 }$

$\Large \color{Black}{\Rightarrow 145x = 5000 }$

$\Large \color{Black}{\Rightarrow x = 34.48\% }$

Hmmm so it is 34.48 actually

anonymous · Answer

oh, i gave it because before orpheus was the only one helping so yea... i ould love to give both of you one but you cant :( You deserve it to Parth. But thanks to both of you alot, you really helped xD

parthkohli · Answer

@Maniqueen123 You're not allowed to medal someone until he/she gives an explanation.

anonymous · Answer

i was trying my best actually but please dun get us banned...

parthkohli · Answer

No lol I won't

anonymous · Answer

oh i didnt know :( but wouldnt it be mean to just take it away, i wanna give you one too, but you cant :P

anonymous · Answer

well take it away np... its carved up my heart :)

parthkohli · Answer

Ok wait I'll give you one @orpheus_180 :)

anonymous · Answer

oh cmon iam a total idiot

anonymous · Answer

you guys flatter me ;'''(

anonymous · Answer

Lol, no its just that niceness always wins ;) So tysm you really helped xD

parthkohli · Answer

Lol I didn't get it yet.

anonymous · Answer

oh srry wait, orpheus, snce parth gave you one, cud i take one away and give it to him to be fair...?

parthkohli · Answer

Hmm...yes that'd be complete fairness hehe

anonymous · Answer

Yay, now you guys are equal, we all are happy :)

anonymous · Answer

Oh yea so the answer is 34.48%... right?