percentages?

Question

in a sale all the normal prices are reduced ny 18%.

In the sale Mandy pays 12.71 for a hat.

Calculate the normal price of the hat.

is it something like 12.71/72 x 100?? or even 12.71/118%?? im not sure

Answer 1

NP = normal price

NP - 0.18(NP) = 12.71
NP(1 - 0.18) = NP(0.82) = 12.71

NP = 12.71/(0.82) = 15.50

Hope that helps ;)

Answer 2

MamaMia's right.

If it's 18% off, that means 82% of the normal price is 12.71.

Write as fractions: 82/100 x Normal Price= 12.71

Rearrange: Normal Price = 12.71 x 100/82

so Normal Price = 15.50

(your first guess was nearly right, the 72 should be 82, that's all :)

Answer 3

When I was taking algebra in college I learned a real novel way of remembering the percentage formula and figuring out a percentage word problem. It goes like this:

is %
-- = ----
of 100

The problem would read something like this: $12.71 is 18% less than the original price.

In this instance we have 2 unknowns the (%) and the (of). We solve the problem in 3 steps.

1. subtract 18 from 100: 100 - 18 = 82
2. multiply (is) by 100: 100 * 12.71 = 1271
3 divide 1271 by 100: 1271/100 = 26.48 rounded to the nearest penny.

So we now have all the parts known

21.71 82
------- = -----
26.48 100

The trick with the percentages formula as I have learned it is a technique I call cross-multiplying and dividing strait across.

Cross-multiplying is similar to cross canceling with fractions only you are multiplying instead of canceling. Basically you take the known number and multiply by the number diagonally across from the known number, then divide the result by the number that is strait across from the known number. This yeilds the unknown number. hope this helps.

Answer 4

Hi

Mandy paid 82% of the normal price so to find out the original normal price divide the price Mandy paid (12.71) by 82 then multiply by 100.

12.71/82 = .155x100 = 15.50

Hope this helps.

Dean

Answer 5

The normal price of the hat is £12.71 X 1.18
£14.99

Answer 6

Normal price = 100%
$ 12∙71 = 100% - 18%
$ 12∙71 = 82% (Now get 1%).
$ 12∙71/ 82 = 82/ 82%
$ 0∙155 = 1% (Now get 100%).
$ 0∙155 * 100 = 1% * 100
$ 15∙50 = 100%

Answer 7

let normal price be P
then P - 0.18P = 12.71
0.82P = 12.71
P = 12.71/0.82
P = 15.5

Answer 8

devide by 82 and multiply by 100 simple

Answer 9

its 12.71/82x100 = 15.50