# Decrease Percent

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When a quantity shrinks (gets smaller), then we can compute its Decrease Percent:

 ( Original amount - New amount) Decrease %= ----------------------------------- x 100                               Original amount

Note: When you compute percent decrease, you always compare how much a quantity has changed to the original amount.

Examples :

1) Find the decrease % of a) $80 to$60 b) $155 to$130

a) $80 to$60
Solution :
Original amount= $80 Net amount =$60
 ( Original amount - New amount) Decrease %= ----------------------------------- x 100                               Original amount

 ( 80 - 60) Decrease %= ------------ x 100                          80

= (20/80) x 100

= 0.25 x 100

So, Decrease % = 25

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b) $155 to$130
Solution :
Original amount= $155 Net amount =$130
 ( Original amount - New amount) Decrease %= ----------------------------------- x 100                               Original amount

 (155 - 130) Decrease %= ------------ x 100                        155

= (25/155) x 100

= 0.16129 x 100

So, Decrease % = 16.129

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2) On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the per cent decrease in the people visiting the Zoo on Monday?

Solution :
Original amount = 845

New amount = 169

 ( Original amount - New amount) Decrease %= ----------------------------------- x 100                               Original amount

 ( 845 -169) Decrease %= --------------- x 100                        845

= (676/845) x 100

= 0.8 x 100

So, Decrease % = 80

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3) A man got 10% decrease in purchasing a machine . If the new price of the machine was $3000, find the original price of the machine. Solution : Decrease % = 10 New amount =$3000

Let original amount be $p.  ( Original amount - New amount) Decrease %= ----------------------------------- x 100 Original amount  ( p - 3000) 10 % = ---------------------- x 100 p Cross multiply 10p = (p - 3000) x 100 10p = 100p - 300,000 10p-100p = -300,000 -90p = - 300,000 So, p = 300,000/90 p =$3333.33

Percentage

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Conversion of Fraction to Percent
Conversion of Percentage to Decimal
Conversion of Decimal to Percent
Find the Percentage of a given number
What Percent is one number of another number
Percentage as a comparison of two quantities
Increase Percent
Decrease Percent