The price of a car has increased by 5%. If the new price is $20475, find the old price.
what i've tried is " 20475 x 5 divide 100= 1023.75
Then 20475 - 1023.75 = $19451.25 < that is not correct. the correct answer is $19500 WHY ?? plz help
2007-04-29 22:31:39 · 13 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The old price was 100% and the new one is 105%.
So you divide the new price by 105 (to get 1%) and then multiply by 100 (to get 100%).
$20475 ·100 / 105 = $19500.
Hope this helps!
2007-04-29 22:33:42 · answer #1 · answered by M 6 · 6⤊ 0⤋
the old price is 100% not the increased one. this is the point there you made mistake. thats 20475 is 100%+5%=105%
divide 20475 to 105 then multiply by 100 you will get the result (19500).
Note; also depend on the model of car . . . (just kidding)
2007-04-30 05:47:11 · answer #2 · answered by Murad Dayla 2 · 0⤊ 0⤋
consider the original value as x
so the increase in price = 5x/100
new price = old price +increase in prices
=> 20475 = x + 5x/100
=> 20475 = 21x/20
=> x = 20475*20/21
=> x = $19500
2007-04-30 05:53:05 · answer #3 · answered by absentmindednik 3 · 0⤊ 0⤋
let the old price be x
if the price of the car is increased by 5% new price is 1.05x
given new price = 1.05x= $ 20475
x=$ 20475/1.05= $19500
so the old price is $19500
2007-04-30 05:45:50 · answer #4 · answered by Tommy 2 · 0⤊ 0⤋
Let the old price of the car be P.
P x 1.05 = 20475
Therefore,
P = 20475/1.05
P = 19500
The answer is $19500.
2007-04-30 05:45:02 · answer #5 · answered by ideaquest 7 · 0⤊ 0⤋
Let's call the original price of the car x.
x + 0.05x = 20475
1.05x = 20475
x = 20475/1.05
x = $19500
What you are doing is taking 5% of the new price and then subtracting that from the new price. You need to make sure you increase the old price by 5% of the old price to get the new price.
2007-04-30 06:01:53 · answer #6 · answered by mwebbshs 3 · 0⤊ 0⤋
x(1+5%)=20475
x=19500
2007-04-30 05:43:29 · answer #7 · answered by Hanbiao 1 · 0⤊ 0⤋
old price=x
5% of x= 20475-x
5x/100=20475 -x
5x= 2047500-100x
105x=2047500
x=$19500
2007-04-30 05:36:50 · answer #8 · answered by Maths Rocks 4 · 0⤊ 0⤋
it's very easy>> x= first price ,0.05x=the increased price>>>>so: x+0.05x=20475=>(1.05)x=20475=>> x=19500, it has a point, you must calculate 5% of the first price then add it to the first price,but you cal culate 5% of the new price and it's wrong, i think it's helpfull
2007-04-30 06:02:10 · answer #9 · answered by Mehran.M 1 · 0⤊ 0⤋
105%<------->$20475
100%<------->100 / 105 x $20475
Old price = $19500
2007-04-30 05:35:20 · answer #10 · answered by Como 7 · 0⤊ 1⤋