Question

1. Is dividing by 100 the same as multiplying by 1/100? Explain your answer using 60 as an example and showing your calculations.

2. How do you find a missing element (P, B, or R) by using one of the variations of the formula P = B x R? Give an example.

3. Describe the three components of a percent problem.

4. Distinguish between rate and part.

5. A common error in working with percent problems is to confuse the base and the part. Describe how you will be able to distinguish between the two components.

Answer 1

(1) dividing by 100 is same as multiplying wuth 1/100.

Example 60 divided by 100 is equal to 0.60 which basically means dividing 16 into 100 parts.

And 60 times 1/100 is also equal to 0.60 which means taking one-hundredth part of 60.

(2) 10% of what number of is 30?

Rate is the value with percentage sign.

Base is the total number.

Part is the result out of that number.

Percent literally means out of per hundred.

Here R = 10 % = 10 /100

P = 30

We have to find Base.

Formula

P=B x R

Transposing R to left hand side

B = P /R

(3) 3 Components of percent problem are P,B and R.

Rate is the value with percentage sign.

Base is the total number.

Part is the result out of that number.

(4) Rate is out of 100 for example 15% rate means 15 out of 100.

Part is out of the total. 45 part out of 300 .

(5) Base is the total from which we are evaluating the part. It can also be distinguished by looking at the language of the question.

The number written after the word "of" is usually the base and before that is the part.

Example,

Find the rate for 30 out of 200.

Part is 30. Base is 200.

Part= Base x Rate

Rate = Part/ Base

R = 30 /200 = 0.15 = 15/100 = 15%

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