Class 7 Maths - ICSE
Percent and Percentage
The chapter 'Percent and Percentage' in Class 7 ICSE Mathematics builds a vital bridge between fractions, decimals, and everyday financial calculations. Students learn to convert between these forms and apply percentage concepts to real-world scenarios such as profit and loss, simple interest, discounts, and population growth. This chapter is a cornerstone of commercial mathematics and forms the foundation for advanced financial topics in higher classes. In ICSE board and school examinations, questions from this chapter frequently appear as both direct conversion sums and multi-step word problems, making a strong grasp of formulas and unit consistency essential for scoring full marks.
Start Learning FreeKey Concepts
Meaning of Percent
The word 'percent' means 'per hundred' or out of one hundred, denoted by the symbol %. It represents a fraction with a denominator of 100.
Converting Fractions and Decimals to Percentages
To convert any fraction or decimal into a percentage, simply multiply the given number by 100 and add the percent sign (%).
Finding Percentage of a Quantity
To find a specific percentage of a given quantity, convert the percentage into a fraction or decimal and multiply it by the total quantity.
Percentage Increase and Decrease
This measures how much a quantity has grown or reduced relative to its original value, calculated as the change divided by the original value multiplied by 100.
Profit and Loss Percentage
Profit or loss is always calculated as a percentage of the Cost Price (CP) using the formula (Profit or Loss / Cost Price) multiplied by 100.
Important Formulas
Board Exam Info
In ICSE Class 7 Mathematics, this chapter typically carries around 8 to 12 marks in the final examinations. Common question types include direct conversion of decimals/fractions to percentages, finding missing quantities, and word problems based on profit and loss, discount, and simple interest.
Frequently Asked Questions
Why is the base always the Cost Price when calculating profit or loss percentage?
Profit or loss is always earned or incurred on the original amount invested to buy the article, which is the Cost Price (CP).
How do I convert a percentage into a fraction in its simplest form?
Remove the percent sign, divide the number by 100, and then reduce the resulting fraction to its lowest terms by dividing the numerator and denominator by their HCF.
Can a percentage be greater than 100?
Yes, a percentage can be greater than 100 when the part or new value is larger than the whole or original value, such as during a price increase of more than double.
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