Compound Interest (Without Using Formula)
ICSE · Class 9 · Mathematics
Quick revision notes for Compound Interest (Without Using Formula) — ICSE Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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See them allKey Topics to Revise
Core ideas and definitions
- Principal is the money borrowed from a bank or lender.
- Interest is the extra money paid for using the lender's money.
- Amount is the total money paid to the lender at the end of the specified period.
Worked patterns that repeat in exams
- Yearly compounding follows a repeating pattern: calculate interest on the current principal, add it to get the amount, then use that amount as the next principal.
- Half-yearly compounding follows the same pattern, but each period is half a year.
- When rates change every year, solve each year separately with the given rate.
Key examples to remember
- In yearly compounding, if principal is ₹1,000 at 10% for 3 years, the amounts become ₹1,100, ₹1,210, and ₹1,331.
- For ₹8,000 at 5% for 2 years, the first year's interest is ₹400 and the second year's interest is ₹420, so the final amount is ₹8,820 and C.I. is ₹820.
- For ₹10,000 at 8% compounded half-yearly for 1 year, the amount becomes ₹10,816 and C.I. is ₹816.
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