# Simple Interest Compound Interests Problem With Explanations

**Quantitative Aptitude Concept wise Explanation** with Practice problems, Simple Interest Compound Interests Problem with Explanations and solutions

**SIMPLE INTEREST S. I = PTR / 100**

S. I = Simple interest

P = principal

T = time in years

R = rate of interest

A = P + S. I

A = total amount

COMPOUND INTEREST

C. I = P × (1 + R/100)^T − P

C. I = Compound interest

P = principal

T = time in years

R = rate of interest

A = P + C. I

A = Total amount

Compound interest for half-yearly

C. I = P × (1 +R/(2*100))^2T – P

Compound interest for quarterly

C. I = P × (1 +R/(4*100))^4T – P

When T = 2 years, R = any rate of interest

C. I – S. I = PR^2 / 100^2

When T = 3 years, R = any rate of interest

C. I – S. I = PR^2 (300 + R) / 100^3

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