Q1
What does compound interest calculate interest on?
AThe current total, including previous interest
BOnly the original principal
CNothing specific
DA fixed amount always
ICSEClass 9 (ICSE)MathematicsCh 2 · Topic 1
Compound Interest (Without Using Formula)
Compound interest can be calculated year by year without a formula, finding the amount at the end of each year based on the previous year's
Core concept
Each year, interest is calculated on the current total (principal plus previously earned interest), not just the original principal.
How it works
For example, ₹1000 at 10% for year one earns ₹100, making the total ₹1100; year two earns 10% of ₹1100 = ₹110, making the total ₹1210.
Why it matters
This step-by-step method helps us understand how compound interest grows faster than simple interest over time.
Key detail
Understanding this manual method builds a strong foundation before learning the compound interest formula for quicker calculations.
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Quick notes
• Compound interest uses the current total each year.
• Not just the original principal.
• ₹1000 at 10%: year 1 = ₹1100.
• Year 2 = ₹1100 + 10% of ₹1100 = ₹1210.
• This step-by-step method shows compound growth.
• It grows faster than simple interest.
• This builds foundation for the formula method.
• Manual calculation aids conceptual understanding.