Answer:
10.5 %
<u>Skills needed: Financial Math Essentials</u>
Step-by-step explanation:
1) First, before getting started, let's assume the price of the product is 
. This variable will be used a lot throughout the problem ().
2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by 
percent, the new price would be 
.
---> In this case, the price increased by 
percent.
This means that it would be: 
New price is: 
3) The shopkeeper is then offering a 
percent discount off of this marked price. When offering a 
percent discount price, the new price (with discount), expressed algebraically is: 
---> the expression above simplifies to 
In this case, 
, 
---> 
This means that , with discount, has been raised 
.
10.5 % is the profit percent
(The profit percent being the final marked up price - purchased price)
Answer:
18
Step-by-step explanation:
(x + y)^2 = (x^2 - 2xy + y^2)
First distribute the ^2 on the left side of the equation to each term inside the parenthesis:
x^2+ 2xy + y^2
Now pick one of the variables to solve for and isolate it:
(solving for x)
x^2 + 2xy + y^2 = x^2 - 2xy + y^2
x^2+ 2xy = x^2 - 2xy
2xy = -2xy
-x = x
x = 0
When you solve for y in the equation it will turn out to be 0 as well
