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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