At sale this week, a desk is being sold for $560. This is 64% of the original price what is the original price?

Question

At sale this week, a desk is being sold for $560. This is 64% of the original price what is the original price?

Answer 1

1=100%,  0.64=64%  

560:0.64=x:1

x=875

Answer 2

A percentage (for example, 64%) may also be written as a fraction (for example, 64/100) or as a decimal (for example, 0.64).

 

Translate the problem statement:

  "$560 ... is 64% of the original price"     means

    $560    =  (64/100)x

 

          because "is" means "=" and "of" usually means multiply

          and we let "x" be the original price

 

  "What is the original price?"      means to report the value of x

 

Now, the math is easy:

   $560 = (64/100)x

   $560(100/64) = x             [multiply both sides by 100/64]

     $875 = x

Answer 3

You can use  percent equation

 

part/whole= percent/100

 

560/whole=64/100

 

by cross multiplication

 

560* 100 = 64* whole

 

56000= 64 * whole

 

56000/64 = whole

 

875 = whole

 

that means original price(whole)= $875

Answer 4

Use the following equation: a x b = c

original price (a) x percent of original (b) = sale price (c)

a is your unknown

b = 64% = .64

c = 560

 

a x b = c

a x .64 = 560

       /.64 /.64 divide both sides by .64

     a = 875

 

check it: 875 x .64 = 560 ?

                560 = 560 yes