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Concepts: Simple Interest Video Lecture | Mathematical Reasoning and Aptitude for UGC NET

FAQs on Concepts: Simple Interest Video Lecture - Mathematical Reasoning and Aptitude for UGC NET

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 do you find the total amount after a certain period when simple interest is applied?
Ans. To find the total amount (A) after a certain period when simple interest is applied, you can use the formula: \[ A = P + SI \] Substituting the formula for SI, it becomes: \[ A = P + \frac{P \times R \times T}{100} \] This simplifies to: \[ A = P \left(1 + \frac{R \times T}{100}\right) \]
3. If a principal amount of $1000 is invested at a rate of 5% for 3 years, what will be the simple interest earned?
Ans. Using the simple interest formula: \[ SI = \frac{P \times R \times T}{100} \] Substituting the values: \[ SI = \frac{1000 \times 5 \times 3}{100} = \frac{15000}{100} = 150 \] Therefore, the simple interest earned is $150.
4. Can simple interest be calculated for time periods less than one year?
Ans. Yes, simple interest can be calculated for time periods less than one year. In such cases, the time (T) should be expressed in years. For example, if the time is 6 months, it can be converted to years as 0.5 years, and then the simple interest can be calculated using the same formula.
5. What are some common applications of simple interest in real life?
Ans. Simple interest is commonly used in various financial transactions, including: 1. Personal loans where the interest is calculated based on the principal for a short duration. 2. Savings accounts that may offer simple interest on deposits. 3. Short-term investments where the interest is computed without compounding. 4. Car loans or educational loans that may utilize simple interest for the repayment period.
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