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Simple & Compound Interest

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Q. A certain amount of money is invested at a compound interest rate of 10% per annum. How long will it take for the investment to double?
  • A. 7.2 years
  • B. 10 years
  • C. 5 years
  • D. 8 years
Q. A certain amount of money is invested at a compound interest rate of 12% per annum. If the amount becomes $5000 after 3 years, what was the principal?
  • A. $3500
  • B. $4000
  • C. $4500
  • D. $4800
Q. A certain amount of money triples itself in 15 years at compound interest. What is the annual interest rate?
  • A. 5%
  • B. 6%
  • C. 7%
  • D. 8%
Q. A loan of $2000 is taken at a simple interest rate of 7% per annum. How much total amount will be paid back after 5 years? (2023)
  • A. $2400
  • B. $2500
  • C. $2600
  • D. $2700
Q. A loan of $5000 is taken at a compound interest rate of 5% per annum. What will be the total amount to be paid after 3 years?
  • A. $5750
  • B. $6300
  • C. $6500
  • D. $7000
Q. A loan of $5000 is taken at a compound interest rate of 6% per annum. What will be the total amount to be paid after 3 years? (1910)
  • A. $5900
  • B. $6000
  • C. $6100
  • D. $6200
Q. A loan of $5000 is taken at a simple interest rate of 10% per annum. How much interest will be paid after 4 years? (2000)
  • A. $200
  • B. $400
  • C. $600
  • D. $800
Q. A loan of $8000 is taken at a compound interest rate of 7% per annum. What will be the total amount to be paid after 4 years? (2000)
  • A. $10000
  • B. $11000
  • C. $12000
  • D. $13000
Q. A loan of Rs. 2000 is taken at a simple interest rate of 8% per annum. How much interest will be paid after 4 years? (2000)
  • A. Rs. 640
  • B. Rs. 480
  • C. Rs. 320
  • D. Rs. 560
Q. A person invests $2000 at a compound interest rate of 5% per annum. What will be the total amount after 3 years? (2000)
  • A. $2315.25
  • B. $2500
  • C. $2200
  • D. $2400
Q. A person invests $2000 at a compound interest rate of 8% per annum. How much will he have after 2 years? (2000)
  • A. $2320
  • B. $2400
  • C. $2500
  • D. $2600
Q. A person invests $2000 at a compound interest rate of 8% per annum. What will be the total amount after 2 years? (2000)
  • A. $2320
  • B. $2400
  • C. $2500
  • D. $2600
Q. A person invests $2000 at a rate of 6% per annum. How much interest will he earn in 4 years under simple interest? (2023)
  • A. $480
  • B. $4800
  • C. $240
  • D. $2400
Q. A sum of money invested at a certain rate of compound interest becomes three times in 10 years. What is the rate of interest?
  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%
Q. A sum of money invested at compound interest becomes $1500 in 2 years and $1800 in 3 years. What is the rate of interest?
  • A. 10%
  • B. 12%
  • C. 15%
  • D. 20%
Q. A sum of money invested at compound interest becomes $1600 in 2 years and $1764 in 3 years. What is the rate of interest?
  • A. 10%
  • B. 12%
  • C. 15%
  • D. 20%
Q. A sum of money invested at compound interest becomes $8000 in 5 years. If the rate of interest is 10% per annum, what was the principal amount?
  • A. $5000
  • B. $6000
  • C. $7000
  • D. $7500
Q. A sum of money invested at compound interest grows to $1500 in 2 years and to $1800 in 3 years. What is the rate of interest?
  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%
Q. A sum of money invested at compound interest grows to $5000 in 3 years. If the rate of interest is 5% per annum, what was the principal amount?
  • A. $4320
  • B. $4500
  • C. $4800
  • D. $4900
Q. A sum of money invested at compound interest grows to Rs. 8000 in 2 years and Rs. 9600 in 3 years. What is the rate of interest?
  • A. 20%
  • B. 25%
  • C. 30%
  • D. 15%
Q. A sum of money is invested at a certain rate of compound interest. If the amount becomes three times in 10 years, what is the annual interest rate?
  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%
Q. A sum of money is invested at a certain rate of compound interest. If the amount becomes three times in 10 years, what is the rate of interest?
  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%
Q. A sum of money is invested at a certain rate of simple interest. If the interest earned in 4 years is $200, what will be the interest earned in 10 years at the same rate?
  • A. $400
  • B. $500
  • C. $600
  • D. $800
Q. A sum of money is invested at a compound interest rate of 12% per annum. How long will it take for the investment to double?
  • A. 5 years
  • B. 6 years
  • C. 7 years
  • D. 8 years
Q. A sum of money is invested at a compound interest rate of 8% per annum. How much will it amount to in 3 years if the principal is $5000? (2023)
  • A. $6000
  • B. $6300
  • C. $6400
  • D. $6800
Q. If a loan of $5000 is taken at a simple interest rate of 6% per annum, how much interest will be paid after 4 years?
  • A. $1200
  • B. $1000
  • C. $800
  • D. $600
Q. If a sum of money doubles in 5 years at simple interest, what is the rate of interest per annum?
  • A. 10%
  • B. 20%
  • C. 15%
  • D. 25%
Q. If a sum of money doubles itself in 5 years at simple interest, what is the rate of interest per annum?
  • A. 10%
  • B. 12%
  • C. 15%
  • D. 20%
Q. If a sum of money doubles itself in 5 years at simple interest, what will be the rate of interest?
  • A. 10%
  • B. 12%
  • C. 15%
  • D. 20%
Q. If a sum of money doubles itself in 5 years at simple interest, what will be the rate of interest per annum?
  • A. 10%
  • B. 12%
  • C. 15%
  • D. 20%
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Simple & Compound Interest MCQ & Objective Questions

Understanding Simple & Compound Interest is crucial for students preparing for exams in India. These concepts not only form a significant part of the mathematics syllabus but also appear frequently in competitive exams. Practicing MCQs and objective questions on this topic helps students grasp the essential formulas and principles, ultimately leading to better scores in their exams.

What You Will Practise Here

  • Definitions of Simple Interest and Compound Interest
  • Key formulas for calculating Simple Interest and Compound Interest
  • Differences between Simple Interest and Compound Interest
  • Applications of Simple & Compound Interest in real-life scenarios
  • Problem-solving techniques for MCQs related to interest calculations
  • Understanding the impact of time and rate on interest calculations
  • Diagrams illustrating the growth of investments over time

Exam Relevance

Simple & Compound Interest is a vital topic in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that require them to apply formulas, solve numerical problems, and interpret data related to interest calculations. Common question patterns include direct calculation problems, scenario-based questions, and conceptual queries that test the understanding of interest principles.

Common Mistakes Students Make

  • Confusing the formulas for Simple Interest and Compound Interest
  • Neglecting to convert time periods into the correct units (years/months)
  • Misunderstanding the concept of compound interest and its compounding frequency
  • Failing to account for changes in interest rates over time
  • Overlooking the importance of understanding the difference between principal and total amount

FAQs

Question: What is the formula for Simple Interest?
Answer: The formula for Simple Interest is SI = (Principal × Rate × Time) / 100.

Question: How is Compound Interest calculated?
Answer: The formula for Compound Interest is A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

Question: Why is it important to practice MCQs on this topic?
Answer: Practicing MCQs helps reinforce concepts, improves problem-solving speed, and enhances overall exam readiness.

Now is the perfect time to boost your understanding of Simple & Compound Interest! Dive into our practice MCQs and test your knowledge to excel in your exams.

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