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Solving percentage problems


A percentage as defined in one of our previous postings Percentages, is simply a fraction in which the denominator is always 100. Among the basic percentage problems you will solve are things such as; the number 4 is what percentage of 24?

To crack a problem like this, you put the part (in this case 4) on top of a whole. In other words you are dividing 4 by 24 and then multiply your answer by 100. Let us look at the demonstration of how this works :

4/24 x 100

1/8 x 100

0.125 x 100

12.5%

A more difficult percentage problem



In many cases, you will encounter percentage problems in a more complex form than the one illustrated above. Consider the following example:

The school choir has 60 members of which 30% are strictly drummers and 20% are strictly dancers. The rest of the choir does both dancing and drumming. How many choir members are considered both dancers and drummers?

Solution

Notice that if we did exclude the two groups above, we have excluded 50% of the choir. Thus the remaining group is basically half of the entire team.

Now, How many dancers does this choir have?

Soulution: This question is asking us to combine those who do both dance and drumming and those who do strictly dancing. Percentage wise, we know the dance and drumming population is 50% and then the percentage of strictly dancing group 20%; thus the quire will have:

70/100 x 60

7 x 6

42 dancers all together.





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