Help with percentages?

Question

I need some help with percentages. Here are some examples of what I need to solve:

1.After a 24% increase, the price of a tennis racquet was $37.82. What was the original price of the racquet?

2. What is 186% of 750?


Can someone show me the steps to solve problems like these?

Answer 1

Ok for #1:

The one thing that we don't know is the original price of the tennis racquet so we will call that "x"

so when x increased by 24% it became $37.82

since the final price is 100% of x plus an additional 24% of x we will write it as x times 1.24 or 1.24x

now we can put our problem into an equation:

1.24x=37.82

so now to get x all by its self all you have to do is divide both sides by 1.24

soooo

x=37.82/1.24

or

x=30.50



As for #2:

all you have to do to find the percent of somthing is to take the percentage, move the decimal over twice by dividing it by 100, and them multiply that by the number taht you want the percentage of.

Rember that 100% always equals 1
150% equals 1.5
200% equals 2 and so on

sooo..

in this case we want to find 186% of 750:

186% is the same as 1.86

so just multiply 1.86 times 750 and you will get your answer which in this case is 1,395

So there you are and good luck with your homework!

Answer 2

I'll start with the 2nd question since it is simpler (or my explanation is in any event).

First thing to do is to convert the % into a decimal (shift the decimal two places left). In this second question you see the word "of" this always means multiply in word problems, so you simply multiply the decimal equivalent of the % times the 750 to get your answer.

The first question is a little more involved. Lets say X is the original price of the racquet. You have the original price plus and another 24% of the original price. That equals $37.82. Once again you convert the % to a decimal and build a formula using the key words in the sentence I just wrote...so
X+0.24X = $37.82. Now solve for X.

Answer 3

1. After a 24% increase, the price of a tennis racquet was $37.82. What was the original price of the racquet?

$37.82 = 124% of original price
$37.82 = 1.24 * X
$30.50 = X

2. What is 186% of 750?

1.86 * 750 = 1395

"of" means multiplication
% means 1/100 or 0.01.

Answer 4

1. A 24% increase means the price is 1.24 times the
original...
1.24x = 37.82
x = 37.82/1.24=$30.50

2. Just translating the stuff as it says...
What is 186% of 750
x = 1.86 * 750
we get x = 1395

Answer 5

For the first one...Take your calculator and punch in:

$37.82 divided by 1.24. You will get 30.50 as an answer. That is the original price. To double check you work, punch in 30.50 and multiply it by 1.24 and your answer should be 37.82.

For the second one it's easier. 186% of 750 is just 750 multiplied by 1.86. The answer is 1395.

I don't know what the formulas are called or how to explain it in math terms...but I hope this helps.

Answer 6

1. Change the 24% to decimal form. 0.24
Then, using an algebraic formula - .24x + x = 37.82
x(.24 + 1) = 37.82
x= 37.82/1.24
x= 30.50
To check, multiply 30.50 times .24 and add that to 30.50
30.50(.24) + 30.50 = 37.82

2. Change the percent to decimal form again. 186% = 1.86
When you see the word "of" in a math problem, it means multiply. So:
1.86(750) = 1395

Answer 7

ok no.1
as there has been a 24% increase $37.82=124%
therefore 37.82/124 x100 gives the original price =$30.50

2.186% of 750 i personally do 750/100 to get 1% then x186
so 750/100x186 = 1395

hope that helps

Answer 8

1)
After a 24% increase the price is 124% (1.24)
so simply do 37.82/1.24
you get 30.5
2) 750 * 186% = 750*1.86=1395

Answer 9

37.82 x .24= $9.08 the part it got marked up
37.82-9.08=$28.74 price before mark up

1.86 x 750= 1395

percentages in a calculator are . xx unless the percent is higher than 100 (186%= 1.86, 586%= 5.86)

Answer 10

for #2 i know you just do this:
1. 1.86 x 750
2. add w/e you got in #1 to 750
3.that is your answer
p.s-the reason it's 1.86 is bcuz when you have a percentage-you divide it by 100 and thats the decimal you use. (e.g-70%=.70)
as for #1
1. take the percentage given (24%) and multiply it times 37.82
2. subtract w/e you get from 37.82
3.thats ur answer

GOOD LUCK