Can you find the regular price of the snowboard if the snowboard at the left is on sale for $12.74. The snowboard is on sale for 60% off? I need to know the steps in how to solve this problem

Can you find the regular price of the snowboard if the snowboard at the left is on sale for $12.74. The snowboard is on sale for 60% off? I need to know the steps in how to solve this problem

Tutors, please sign in to answer this question.

There are many ways to answer this question. When you are dealing with a tenth situation as in your question, I would ignore the percentage for the moment. That leaves you with: 4X = $12.74. You have $12.74/4 to get X = $3.185. Now, you need to remember that equals 1 tenth of the answer. (This is where the tenth factor is brought back in.) $3.185*10 = $31.85.

Now restate the problem without the comments.

.4X = 4/10 * X

4/10 * X = $12.74

10(4/10 * X) = 10 * $12.74

4X = $127.40

X = $127.40/4

X = $31.85

There are many approaches to the problem. However, the following procedure is applicable

irrespective of the scenario.

Profit or Loss percentage = (Selling Price - Cost Price)/Cost Price * 100

From the question, we know that a loss was incurred in the transaction

In this case, Selling Price = $12.74, Cost Price = x, loss percentage = 60

The next step is to plug in the figures into the above equation.

60% or 0.6 = (12.74-x)/x

Since it was a loss, place a negative sign before 0.6.

-0.6 = (12.74 - x)/x

Next step, cross-multiply to get -0.6x = 12.74 - x

Next step, solve for x.

-0.6x + x = 12.74

0.4x =12.74

x = 31.85

Therefore, the original cost or regular price of the snowboard was $31.85

Since it's on sale for 60% off, what is left for you to pay is 40% of the regular price:

40% * regular price = 12.74

regular price = 12.74 / .4

regular price = **$31.85**

If 60% off makes the price $12.74, you know that $12.74 is the remaining 40% (100%-60% (off) =40%). Try rewording the question:

$12.74 is 40% of what?

I was taught:

is/of = %/100

in other words, using 'x' as the missing value:

12.74/x=40/100 (12.74 IS 40% OF X or 12.74=IS, X=OF, %=40)

You then need to cross-multiply:

so multiply the bottom by the top:

40*x=12.74*100

40x=1274

then divide each side by 40 to isolate the 'x':

x=1274/40

x=$31.85

Check your work:

31.85-60%=12.74

31.85-(31.85*.6)=12.74

31.85-19.11=12.74

12.74=12.74