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About Simple Interest — Class 7 ICSE

Calculate simple interest, principal, rate, and time using the SI formula. This topic is part of the ICSE Class 7 mathematics syllabus (chapter: Chapter 17). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Simple Interest

  • Introduction to Simple Interest: What it is and Why it Matters
  • The Simple Interest Formula: Calculating the Extra Amount
  • Applying the Concept: Finding the Total Amount Payable/Receivable
  • Advanced Applications: Finding Principal, Rate, or Time
  • Summary, Connections, and Preparation for Practice

Interactive lesson · about 15 minutes · checkpoint question after every unit

Simple Interest — solved examples for Class 7 ICSE

Example 1easy

Which of the following statements about Simple Interest is TRUE?
  1. A)Simple Interest is calculated only on the initial principal amount.
  2. B)Simple Interest changes every year even if the principal remains the same.
  3. C)Simple Interest is added to the principal to earn more interest in subsequent years.
  4. D)Simple Interest is calculated on the principal plus any accumulated interest.

Step-by-step solution

  1. Simple interest is always calculated based on the original principal amount. This means the interest earned does not become part of the principal for future interest calculations.
  2. Options B, C, and D describe characteristics of compound interest, not simple interest.

Answer: Simple Interest is calculated only on the initial principal amount.

Example 2medium

Calculate the Simple Interest on a Principal of ₹12000 at a rate of 5% per annum for 3 years.
  1. A)₹1600
  2. B)₹1800
  3. C)₹2000
  4. D)₹2200

Step-by-step solution

  1. Identify the given values: Principal (P) = ₹12000, Rate (R) = 5% p.a., Time (T) = 3 years.
  2. Apply the Simple Interest formula:
    SI=(P×R×T)/100SI = (P × R × T) / 100
  3. Substitute the values and calculate:
    SI=(12000×5×3)/100=180000/100=1800SI = (12000 × 5 × 3) / 100 = 180000 / 100 = ₹1800

Answer: ₹1800

Example 3hard

A certain sum of money invested at simple interest amounts to ₹11,200 in 4 years and to ₹12,000 in 6 years. Find the principal sum.
  1. A)₹9,000
  2. B)₹9,200
  3. C)₹9,600
  4. D)₹10,000

Step-by-step solution

  1. Let P be the principal and R be the rate of interest per annum.
  2. Interest for (6 - 4) = 2 years = ₹12,000 - ₹11,200 = ₹800.
  3. Interest for 1 year = ₹800 / 2 = ₹400.
  4. Interest for 4 years = ₹400 × 4 = ₹1,600. The principal sum P = Amount in 4 years - Interest for 4 years = ₹11,200 - ₹1,600 = ₹9,600.

Answer: ₹9,600

Practice questions on Simple Interest

  1. Q1.easy

    Find the Simple Interest on ₹8,000 at 5% per annum for 3 years.
    1. A)₹1,000
    2. B)₹1,200
    3. C)₹1,500
    4. D)₹1,800
    Show answer

    Answer: ₹1,200

    Hint: Use the formula SI = (P × R × T) / 100 directly.

  2. Q2.easy

    If Principal is ₹5,000, Rate is 6% per annum, and Time is 2 years, what is the Total Amount to be repaid?
    1. A)₹5,300
    2. B)₹5,600
    3. C)₹6,000
    4. D)₹6,200
    Show answer

    Answer: ₹5,600

    Hint: First, calculate the Simple Interest, then add it to the Principal to find the Amount.

  3. Q3.easy

    Rohan calculated the simple interest on ₹10,000 at 10% per annum for 6 months as follows:
    SI = (10,000 × 10 × 6) / 100 = ₹6,000.
    What mistake did Rohan make?
    1. A)He used the incorrect principal amount.
    2. B)He used the incorrect rate of interest.
    3. C)He did not convert the time from months to years.
    4. D)He should have multiplied by 100 instead of dividing by 100.
    Show answer

    Answer: He did not convert the time from months to years.

    Hint: The rate is 'per annum,' meaning 'per year.' Ensure your time unit matches.

  4. Q4.medium

    What will be the total Amount received after 4 years if ₹7500 is invested at a Simple Interest rate of 8% per annum?
    1. A)₹9500
    2. B)₹9800
    3. C)₹9900
    4. D)₹10100
    Show answer

    Answer: ₹9900

    Hint: First, calculate the Simple Interest, then add it to the Principal to find the total Amount.

  5. Q5.medium

    A sum of money yields a Simple Interest of ₹1440 in 4 years at a rate of 6% per annum. Find the Principal amount.
    1. A)₹5500
    2. B)₹5800
    3. C)₹6200
    4. D)₹6000
    Show answer

    Answer: ₹6000

    Hint: Rearrange the Simple Interest formula to solve for the Principal (P).

  6. Q6.medium

    A principal of ₹5000 earns a Simple Interest of ₹750 in 3 years. What is the annual rate of interest?
    1. A)5% p.a.
    2. B)6% p.a.
    3. C)7% p.a.
    4. D)8% p.a.
    Show answer

    Answer: 5% p.a.

    Hint: To find the rate, use the formula R = (SI × 100) / (P × T).

  7. Q7.hard

    If the simple interest on a sum is 4/9 of the principal, and the number of years is numerically equal to the rate percent per annum, find the rate of interest.
    1. A)5%
    2. B)6 2/3%
    3. C)7.5%
    4. D)8%
    Show answer

    Answer: 6 2/3%

    Hint: Set up the simple interest formula. Let the rate be 'R' and the time be 'T'. Use the given relationship between SI and P, and between R and T.

  8. Q8.hard

    A student calculates the simple interest on a certain principal for 3 years at 10% p.a. He made a mistake and calculated it for 2 years at 12% p.a. If the difference in the two calculated interests was ₹150, find the principal.
    1. A)₹2,000
    2. B)₹2,500
    3. C)₹3,000
    4. D)₹3,500
    Show answer

    Answer: ₹2,500

    Hint: Calculate the simple interest for both scenarios in terms of the principal. The difference between these two expressions will be ₹150.

  9. Q9.hard

    A principal amount is invested for 3 years. The rate of simple interest for the first year is 4%, for the second year is 5%, and for the third year is 6%. If the total simple interest earned is ₹1500, find the principal.
    1. A)₹8,000
    2. B)₹9,000
    3. C)₹10,000
    4. D)₹12,000
    Show answer

    Answer: ₹10,000

    Hint: Remember that simple interest is always calculated on the original principal. Calculate the interest for each year separately and sum them up.

These are 9 of the 60 questions available for Simple Interest. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.