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)
Look up the law of sines, I suggest Khan Academy. It is better if you know how to do it, it is very useful.
Let x be the digit in the tens place and y be the digit in the ones place.
so, the digit is xy
<span>
The ten's digit of a two digit number is 1 more than 4 times the units' digit.
</span>x = 4y + 1
<span>63 is subtracted from the number, the order of the digits is reversed
</span>10x + y - 63 = 10y + x
9x - 9y = 63
x = 4y + 1 ------------ (1)
9x - 9y = 63 ---------- (2)
Sub (1) into (2)
9(4y + 1) - 9y = 63
36y + 9 - 9y = 63
27y = 63 - 9
27y = 54
y = 2 ------- sub into (1)
x = 4(2) + 1 = 9
x = 9, y = 2
The number is 92
A. assuming the sales tax is already added to the 72.60 all you have to do is add 20%
