Hey, i've decided to give myself some things to work out., in preparation for my Exam. Obviously it's not any questions from the exam, how would i have got a hold of them? They may seem easy, but some people do happen to be Dyslexic:
I originally posted this in another forum, but they obviously didn’t get what I mean: I posted that this was NOT homework. I had set myself a question to answer, and i wanted to find out HOW!
People immediately presume, that every question that resembles these ones must be homework =[

Peter works as a real estate agent and is paid commission at a variable rate. He receives 4% on the first $100 000 of sales, 21/2 % on the next$100 000 of sales and 11/2% on the remaining balance of sales. If peter sell’s a house for $349 000 how much will he be paid? Monica knows that the selling price of a walkman is$89.95. She also knows that this price includes a mark up of 10%. What was the original price of the walk-man?
(Potentially you would go like this if it was not a mark up) 89.95 x 10% (without having to use the =’s sign)

And: The Numbers in the left column have been changed to the numbers in the right column. Determine the percentage change and state whether it was an increase or decrease.

3452 ----- 4315
6060 ------- 2908.8
I have already established that both have been increased? But I’m not sure about these percentage changes =[

2. 6060 to 2908.8 is an increase? are you sure about that one?
if you want to figure out the percentage change from one thing to another
$\frac{x}{100} = \frac{4315}{3452}$ cross multiply and if you are looking for the ("50% more" or what not just subtract 100% from that)

3. Oops, i mean't de-crease!

4. I don't get what you mean!

5. ok ill show you,
$\frac{x}{100} = \frac{4315}{3452}$
now you can multiply across the equals sign, following the principles of algebra
$3452x = 100 \cdot 4315$
so now we divide by 3452
$x = \frac{100 \cdot 4315}{3452}$
punch it into our handy dandy calculator (or google it)
so x is 125! that means 4315 is 125% of 3452 or equivalently
4315 is 25% more than 3452

6. well ok and to your other problems, well im not sure i get the first one so soundly, but for the second one what you want to know is what number + 10% = 89.95

what youre really saying is that 110% of x (the original cost is equal to 89.95
well so convert the 110% to decimal and you have the equation
1.1x = 89.95

7. Originally Posted by Ilaggoodly
ok ill show you,
$\frac{x}{100} = \frac{4315}{3452}$
now you can multiply across the equals sign, following the principles of algebra
$3452x = 100 \cdot 4315$
so now we divide by 3452
$x = \frac{100 \cdot 4315}{3452}$
punch it into our handy dandy calculator (or google it)
so x is 125! that means 4315 is 125% of 3452 or equivalently
4315 is 25% more than 3452

Thanks alot =]

8. Originally Posted by Ilaggoodly
ok ill show you,
$\frac{x}{100} = \frac{4315}{3452}$
now you can multiply across the equals sign, following the principles of algebra
$3452x = 100 \cdot 4315$
so now we divide by 3452
$x = \frac{100 \cdot 4315}{3452}$
punch it into our handy dandy calculator (or google it)
so x is 125! that means 4315 is 125% of 3452 or equivalently
4315 is 25% more than 3452
Originally Posted by Ilaggoodly
well ok and to your other problems, well im not sure i get the first one so soundly, but for the second one what you want to know is what number + 10% = 89.95

what youre really saying is that 110% of x (the original cost is equal to 89.95
well so convert the 110% to decimal and you have the equation
1.1x = 89.95

Erm, but 89.95 wasn't the original size! What would be a basic way of doing it on the calculator?

9. youre right, 89.95 isnt, x is the original size
divide by 1.1

10. Hello, Sazza!

Peter works as a real estate agent and is paid commission at a variable rate.
He receives 4% on the first $100,000 of sales, 2½% on the next$100,000 of sales
and 1½% on the remaining balance of sales.
If Peter sells a house for $349,000, how much will he be paid? Peter gets 4% of the first$100,000: . $0.04 \times 100,000 \:=\:4,000$

He gets 2½% of the next $100,000: . $0.025 \times 100,000 \:=\:2,500$ And he gets 1½% of the rest: . $0.015 \times 149,000 \:=\: 2,235$ His total commission is: . $\4,000 + 2,500 + 2,235 \;=\;\8,735$ Monica knows that the selling price of a Walkman is$89.95.
She also knows that this price includes a mark up of 10% (of cost).
What was the original cost of the Walkman?
We know that: . $\text{Cost} + \text{Markup} \;=\;\text{Selling price}$ .[1]

. . We also know that: . $\text{Markup} \;=\;10\%\text{ of Cost}$

Substitute into [1]: . $\text{Cost} + \text{(10\% of Cost)} \;=\;\text{Selling price}$

Then: . $\text{(100\% of Cost)} + \text{(10\% of Cost)} \;=\;\text{Selling price}$

. . So we have: . $\text{110\% of Cost} \;=\;\text{Selling price}\quad\Rightarrow\quad 1.10C \:=\:S$

Since $S = 89.95$, we have: . $1.10C = 89.95$

. . Then: . $C \:=\:\frac{89.95}{1.10} \:=\:81.7727...$

Therefore, the original cost was about $\81.77$.

The Numbers in the left column have been changed to the numbers in the right column.
Determine the percentage change and state whether it was an increase or decrease.

$\begin{array}{cc}3452 & 4315 \\ 6060 & 2908.8 \end{array}$
The first one changed from 3452 to 4315. .There was an increase of 863
. . Percent of increase: . $\frac{863}{3452} \:=\:0.25 \;=\;25\%$

The second one changed from 6060 to 2908.8. .There was a decrease of 3151.2
. . Percent of decrease: . $\frac{3151.2}{6060} \;=\;0.52 \;=\;52\%$