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Short Trick Simple & Compound Interest Video Lecture | General Aptitude for GATE - Mechanical Engineering

FAQs on Short Trick Simple & Compound Interest Video Lecture - General Aptitude for GATE - Mechanical Engineering

1. What is the formula for calculating Simple Interest?
Ans. The formula for calculating Simple Interest (SI) is given by: \[ SI = \frac{P \times R \times T}{100} \] where \( P \) is the principal amount, \( R \) is the rate of interest per annum, and \( T \) is the time in years.
2. How is Compound Interest different from Simple Interest?
Ans. Compound Interest (CI) is calculated on the initial principal as well as on the accumulated interest from previous periods. In contrast, Simple Interest is calculated only on the principal amount throughout the investment period. The formula for Compound Interest is: \[ A = P \left(1 + \frac{R}{100}\right)^T \] where \( A \) is the total amount after interest, \( P \) is the principal, \( R \) is the rate, and \( T \) is the time.
3. How do you calculate Compound Interest for multiple years?
Ans. To calculate Compound Interest for multiple years, you use the formula: \[ A = P \left(1 + \frac{R}{100}\right)^T \] Then, the Compound Interest can be found by subtracting the principal from the total amount: \[ CI = A - P \]
4. What is the best strategy to quickly calculate interest in exams?
Ans. A good strategy to quickly calculate interest in exams is to remember the formulas for SI and CI and practice solving problems using shortcuts, such as calculating percentages and using approximations for larger numbers. Familiarity with common values and patterns in interest calculations can significantly speed up the process.
5. Can you explain how to convert between Simple and Compound Interest?
Ans. Converting between Simple and Compound Interest isn't straightforward, as they are based on different principles. However, to compare them, you can calculate the Compound Interest for the same principal, rate, and time, and then compare the results with the Simple Interest. For a specific period, if you want to see how much more CI is compared to SI, you can use both formulas and see the difference.
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