Friday, December 21

Percentage Variance

Introduction for percentage variance:

The percentage of the number is a method of showing the number with the denominator 100 as fraction. The percentage of the number is represented by the symbol “%” or “pct”. Percentage shows the relation of the two quantities, the first quantity is associated with the second quantity. So, first quantity should be larger than zero. But in this article we are going to see percentage variance. I like to share this Definition of Variance with you all through my article.

Equation for percentage variance is `("new value"-"previous value")/"previous"` `xx` 100

Examples for Percentage Variance:

Example 1:

The last year of the bag was soled at the price 57. In this year, the bag is selling with the price 28. Calculate percentage variance by using formula.

Solution:

Percentage variance = ` ("new value-previous value")/"previous value"` `xx` 100

= `(28-57)/57` ` xx` 100

= `-29/57` `xx` 100

= -0.5088 `xx` 100

= -50.88%

Therefore, 50.88% loss in selling of bag in this year when we compare with the last year.

Example 2:

The last year of the basket was soled at the price 39. In this year, the basket is selling with the price 58.

Solution:

Percentage variance = `("new value-previous value")/"previous value"` `xx` 100

= `(58-39)/39` `xx` 100

= `19/39` `xx` 100

= 0.4872 `xx` 100

= 48.72%

Therefore, 48.72% percentage is profit in selling of basket in this year when we compare with the last year.
I have recently faced lot of problem while learning linear equations in two variables word problems, But thank to online resources of math which helped me to learn myself easily on net.

Practice Problems for Percentage Variance:

Problem 1:

The last year of the washing machine was soled at the price 48. In this year, the washing machine is selling with the price 52. Calculate percentage variance by using formula.

Solution:

8.33% profit in selling of washing maching in this year when we compare with last year

Problem 2:

The last year of the TV was soled at the 50 . In this year, the TV is selling with the price 72. Calculate percentage variance by using formula.

Solution:

44% profin in selling of TV in this year when we compare with the last year.

Problem 3:

The last year of the laptop was soled at the price 89. In this year, the laptop is selling with price 20.

Solution:

77.53% loss in selling of laptop in this year when we compare with the last year.

Problem 4:

The last year of the computer was soled at the price 89. In this year, the computer is selling with the price 83. Calculate percentage variance by using formula.

Solution:

6.74% loss in selling of computer in this year when we compared with the last year

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