class seventh CBSE board chapter 5 application of percentage worksheet 3
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Answer:
Application of Percentages CBSE Class 7 Maths
Application of Percentages – Percent means per hundred. It represents the fraction in which denominator is 100. Symbol of the percent is %. Percent represents either increment or deduction. Percentage helps in comparison.
If the percent value increases, it is called growth.
If the percent value decreases, it is called depreciation.
How to convert the fraction into the percentage?
Multiply given fraction by 100
Example a/b *100
Percent Variables
To solve the percent problem, one needs to understand the three variables
Percent
Part
Base
Example
30% of 1500 is 500
Percent-30, base -1500, part -500
25% 0f 500 is 125
Percent– 25, base-500, part -125
Percent as a ratio
Percent also represents the ratio where the first part is equal to the given percent and the second part is 100. To convert ratio into the percent, first you need to convert it into the lowest form of fraction further multiplying it by 100.
a:b = (ab x 100)
Example- a bag contains 2 red balls and 3 white balls. Find the percentage occupied by each.
Solution – Ratio 2:3
Percentage occupied by red balls
Total quantity = 5
Percentage
2/5 x 100 =40
3/5 x 100=60
Practice percentage with worksheets, quizzes, and learning modules. For details click Class 7 Maths .
Percent as a decimal
It can also be represented in the form of a decimal. If we have fraction then convert the fraction into a decimal by dividing the numerator by 100 or in short we can place decimal two digits left the numerator.
Application of percentage
Percentage increase
Amount of increase/base x 100
Percentage decrease
Amount of decrease/base x 100
Profit and loss
Profit refers to the money gained on selling an item
profit percentage = Profit / CP x 100, where profit= selling price – cost price
Loss refers to the money lost on selling an item
Loss percentage = Loss / CP x 100, where Loss= cost price – selling price
No profit no loss is when selling price = cost price
Simple Interest
Interest refers to the fees paid for borrowing a money.
P refers to the principal amount borrowed, R refers to the rate of interest and T refers to the time period for which amount is borrowed.
Simple interest (I) = P x R x T / 100
Amount represents total sum paid at the end of the time period.
Amount= Principal + Interest
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