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About Percentage & Its Applications — Class 7 ICSE

Convert between fractions, decimals, and percentages; solve real-world percentage problems. This topic is part of the ICSE Class 7 mathematics syllabus (chapter: Chapter 15). On this page you can practice 51 questions across three difficulty levels — 11 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 Percentage & Its Applications

  • Unit 1: Introduction to Percentage
  • Unit 2: Conversions: Fractions, Decimals, and Percentages
  • Unit 3: Finding Percentage of a Quantity
  • Unit 4: Percentage Increase and Decrease
  • Unit 5: Finding the Whole and Problem Solving

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

Percentage & Its Applications — solved examples for Class 7 ICSE

Example 1easy

Which of the following statements correctly explains the meaning of 'percentage'?
  1. A)Percentage means 'per hundred'.
  2. B)Percentage means 'part of a whole'.
  3. C)Percentage means 'a fraction with any denominator'.
  4. D)Percentage means 'a decimal value less than 1'.

Step-by-step solution

  1. The word 'percent' is derived from the Latin phrase 'per centum', which literally means 'per hundred' or 'out of every hundred'.
  2. Therefore, a percentage always represents a part of a whole expressed as a fraction of 100.

Answer: Percentage means 'per hundred'.

Example 2medium

Convert the fraction 7/16 into a percentage. Round your answer to two decimal places if necessary.
  1. A)43.75%
  2. B)43.25%
  3. C)44.75%
  4. D)44.25%

Step-by-step solution

  1. To convert a fraction to a percentage, we multiply it by 100.
  2. Percentage = (7 / 16) × 100%
  3. Percentage = 0.4375 × 100%
  4. Percentage = 43.75%

Answer: 43.75%

Example 3hard

Rohan scored 80% marks in a test. If he had scored 15 more marks, his score would have been 90%. What was the maximum possible marks for the test?
  1. A)120 marks
  2. B)150 marks
  3. C)180 marks
  4. D)200 marks

Step-by-step solution

  1. Let the maximum marks be 'M'. Rohan scored 80% of M.
  2. If he scored 15 more marks, his score would be 90% of M. So, 80% of M + 15 = 90% of M.
  3. This means 15 marks represent the difference between 90% and 80%, which is 10% of M.
  4. Therefore, 10% of M = 15. To find M, M = (15 / 10) × 100 = 150 marks.

Answer: 150 marks

Practice questions on Percentage & Its Applications

  1. Q1.easy

    Which of the following statements is true?
    1. A)0.8 is equivalent to 80%.
    2. B)1/2 is equivalent to 2%.
    3. C)0.05 is equivalent to 50%.
    4. D)1/10 is equivalent to 1%.
    Show answer

    Answer: 0.8 is equivalent to 80%.

    Hint: Convert each given value (fraction or decimal) into a percentage to check for equivalence.

  2. Q2.easy

    Rohan's weight was 50 kg. He lost 10% of his weight. He calculated his new weight as 50 - (10/100) = 49.9 kg. Where did Rohan make a mistake?
    1. A)He made a mistake in calculating 10% of his weight.
    2. B)He should have added 10% instead of subtracting.
    3. C)He subtracted the percentage value (10/100) directly from the weight, instead of the actual weight loss.
    4. D)He should have calculated 10% of his new weight, not his original weight.
    Show answer

    Answer: He subtracted the percentage value (10/100) directly from the weight, instead of the actual weight loss.

    Hint: When calculating a percentage decrease, you first find the amount of decrease and then subtract that amount from the original value.

  3. Q3.easy

    If 40% of a number is 200, what is 60% of that same number?
    1. A)120
    2. B)240
    3. C)300
    4. D)360
    Show answer

    Answer: 300

    Hint: First, find the original number by using the given percentage. Then, calculate 60% of that original number.

  4. Q4.medium

    In a school with 1200 students, 40% are girls. Out of the girls, 25% participate in the annual sports day. How many girls participate in the annual sports day?
    1. A)120
    2. B)140
    3. C)160
    4. D)180
    Show answer

    Answer: 120

    Hint: First, find the total number of girls. Then, calculate the percentage of those girls who participate in sports.

  5. Q5.medium

    Rohan scored 72 marks out of a total of 80 marks in his Mathematics test. What percentage of marks did Rohan score?
    1. A)80%
    2. B)90%
    3. C)85%
    4. D)95%
    Show answer

    Answer: 90%

    Hint: To express one quantity as a percentage of another, divide the part by the whole and multiply by 100.

  6. Q6.medium

    The price of a brand new bicycle is ₹3500. If its price increases by 15% next month, what will be the new price of the bicycle?
    1. A)₹4025
    2. B)₹4000
    3. C)₹3950
    4. D)₹3825
    Show answer

    Answer: ₹4025

    Hint: First, calculate the amount of increase. Then, add this increase to the original price.

  7. Q7.hard

    A shopkeeper sells two bicycles for ₹2500 each. On one, he gains 20%, and on the other, he loses 20%. What is his overall profit or loss percentage in the entire transaction?
    1. A)No profit, no loss
    2. B)4% loss
    3. C)4% profit
    4. D)8% loss
    Show answer

    Answer: 4% loss

    Hint: When two items are sold at the same price, and one has a profit of X% and the other a loss of X%, there is always a loss. Calculate the cost price for each bicycle separately.

  8. Q8.hard

    The price of an item is first increased by 20%, and then the new price is decreased by 20%. If the final price is ₹720, what was the original price of the item?
    1. A)₹700
    2. B)₹720
    3. C)₹750
    4. D)₹800
    Show answer

    Answer: ₹750

    Hint: Let the original price be 'x'. Apply the percentage changes sequentially and set up an equation to work backwards.

  9. Q9.hard

    In a village, the ratio of males to females is 3:2. If 60% of the males and 40% of the females are literate, what percentage of the total population of the village is literate?
    1. A)50%
    2. B)52%
    3. C)54%
    4. D)56%
    Show answer

    Answer: 52%

    Hint: Assume a convenient total number of people based on the ratio to make calculations easier. Then find the number of literate males and females.

These are 9 of the 51 questions available for Percentage & Its Applications. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.