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Calculate the compound interest on Rs 8,000 for 2 years at 10% per annum, compounded annually.
1,680
1,600
1,720
1,550
1,680
Compound interest is calculated on the initial principal and also on the accumulated interest of previous periods. For a principal of Rs 8,000 at 10% rate for 2 years, the amount grows to Rs 9,680, resulting in an interest of Rs 1,680.
Compound interest is calculated on the initial principal and also on the accumulated interest of previous periods. For a principal of Rs 8,000 at 10% rate for 2 years, the amount grows to Rs 9,680, resulting in an interest of Rs 1,680.
Think of compound interest like a snowball rolling down a hill; as it gathers snow (interest) on its journey, it gets larger, which in turn helps it collect even more snow in the next rotation.
CI = A - P (Total Amount minus Principal gives you the growth component).
A=P(1+100RтАЛ)n тАФ Amount after n periods
CI=AтИТP тАФ Compound Interest calculation
The principle of compound interest relies on exponential growth where interest is added to the principal at the end of each compounding period. Unlike simple interest, which is calculated only on the principal, compound interest uses the formula A=P(1+100RтАЛ)n to account for the interest earned on previous interest, reflecting the time-value of money.
Compounding increases the total return exponentially over time.
The interest amount is greater than simple interest for periods longer than one unit.
Compounding frequency (annually, semi-annually) significantly alters the final amount.
Higher returns on long-term investments
Accelerated wealth accumulation
Increases the total debt burden for borrowers
Requires more complex calculations than simple interest
Banking savings accounts
Long-term investment portfolio growth
Calculation: A=8000(1+10010тАЛ)2=8000(1.1)2=8000├Ч1.21=9680.
Interest = 9680тИТ8000=1680.
Option B (Rs 1,600) represents simple interest, which fails to account for the compounding effect.
A is correct тАФ The compound interest after 2 years on Rs 8,000 at 10% is Rs 1,680, calculated by subtracting the principal from the accumulated amount.
Always verify if the question asks for 'amount' or 'interest' to avoid unnecessary steps in your calculation.
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