Thursday, September 30, 2010

Finding the quantity in percentage

 In this lesson we're going to learn finding the quantity in percentage. Previously I said percentages uses in our life every day. Sometimes you need to find part of the quantity from the total quantity which is in percentage.

 There are 3 methods to find the quantity.
Method 1 is convert percentages to fraction with the denominator of 100 then multiply.
Method 2 is convert the percentage to simplified fraction then multiply.
Method 3 is convert the percentage to decimal then multiply.

 1. Our first example is "Find 25% of $500."
 There are three methods to find the quantity. It doesn't matter which method you choose the answers are same.

Method 1: 25% = 25/100
i.e 25/100 x 500/1.
= $125.

Method 25% = 1/4 when is simplified.
1/4 x 500/1 = $125

Method 3: 25% = 0.25.

                                   500             500 x 0.05 = 25
                               x 0.25             500 x 0.20 = 100
                                    
                                     25
                             +    100
                                  
                                   125

Second example is " Find 35% of 50 laptops."

  35/100 x 50/1 = 1750/100 = 17.5 = 17 laptops.
OR 0.35 x 50 = 17.5 = 17 laptops.

 Third example is 10% of $850."
10/100 x 850 =$85
i.e  $85.

  Forth example is "Find 33 1/2% of 240."
In this case method 2 much more easier this time.

33 1/2% = 67/200

67/200 x 240 = 402/5 = 80.4.
i.e 80.4.

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