Percentage And Its Applications
NIOS · Class 10 · Maths
Summary of Percentage And Its Applications for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.
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Percentage means per hundred and comes from the Latin phrase per centum. It is a ratio whose second term is always 100. The chapter connects percentage with fractions, decimals, profit and loss, discount, simple interest, compound interest, and growth or depreciation. The main idea is to express com
Key Concepts
Percent means per hundred
Percent means per hundred. The symbol % represents this idea. The statement r% = r/100 gives the decimal or fractional form of a percent.
A fraction is converted to
A fraction is converted to a percent by multiplying by 100 and attaching %. A percent is converted to a fraction by dropping % and dividing by 100. A
To find x% of a quantity
To find x% of a quantity Q, use x% of Q = (x/100) × Q.
An increase by a given percent
An increase by a given percent adds that fraction of the original quantity. A decrease by a given percent subtracts that fraction of the original quan
Profit occurs when SP > CP
Profit occurs when SP > CP, and loss occurs when SP < CP. Profit% and Loss% are always calculated on CP. Profit% = Profit/CP × 100 and Loss% = Loss/CP
Learning Objectives
- Understand the meaning of percent and percentage as per hundred.
- Convert between fractions, decimals, and percentages.
- Find a percentage of a given quantity.
- Solve problems on increase, decrease, and reverse percentage change.
- Apply percentage ideas in profit, loss, and discount.
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