Subject: Mathematics
Book: Maths Mastery
Compound interest is the foundation of investment growth and loan repayment calculations. The standard formula for compound interest is A = P (1 + r/n)^(n×t), where P is the principal, r is the annual interest rate (in decimal form), n is the number of compounding periods per year, t is the total number of years, and A is the amount after the specified time. For example, if you invest ₹10,000 at an annual 8% interest rate, compounded quarterly (n = 4) for 5 years, your final amount would be A = 10,000 (1 + 0.08/4)^(4×5). This repeated application of interest to both the principal and its accumulated interest creates accelerated growth, pivotal for long-term financial planning, savings, and retirement funds. By understanding compound interest, you can strategize mortgage payments, compare loan offers, and evaluate various investment products.
A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
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