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What is the compound interest on Rs. 5000 for 2 years at 10% per annum compounded annually?
Rs. 1050
Rs. 1000
Rs. 1100
Rs. 950
Rs. 1050
Compound interest is calculated on the principal amount as well as the accumulated interest of previous periods. For a principal of Rs.5000, an annual interest rate of 10% over 2 years yields a total amount of Rs.6050, resulting in a compound interest of Rs.1050.
Compound interest is calculated on the principal amount as well as the accumulated interest of previous periods. For a principal of Rs.5000, an annual interest rate of 10% over 2 years yields a total amount of Rs.6050, resulting in a compound interest of Rs.1050.
Think of compound interest like a snowball rolling down a hill; as it gathers more snow, it grows faster and larger with every turn.
A=P(1+100RтАЛ)n тАФ Total Amount under compound interest
CI=AтИТP тАФ Compound Interest formula
The total amount after n years under annual compounding is given by the formula A=P(1+100RтАЛ)n. Subtracting the initial principal P from the final amount A gives the compound interest (CI=AтИТP).
Interest is charged on both the initial principal and accumulated interest.
Compounding leads to exponential growth over time compared to simple interest.
Financial banking calculations
Loan and investment growth projections
Principal P=5000, Rate R=10%, Time n=2 years.
Option B (Rs. 1000) represents simple interest for 2 years (5000├Ч0.10├Ч2). Option C and D are incorrect calculations.
A is correct тАФ The compound interest on Rs. 5000 for 2 years at 10% per annum compounded annually is Rs. 1050.
Always distinguish between simple interest and compound interest in competitive exams to avoid calculating the wrong interest type.