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
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
Hi Tykia -- since 60% is 1.5 times 40%, add back 1.5 of $12.74: 12.74+12.74+6.37= 25.58+6.37= $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