Q: A pair of quantities is shown below. Identify and write appropriate symbols ‘>’, ‘<’, ‘=’ in the blanks. Try to do it without calculations. (i) 50% ____ 5% (ii) $\frac {5}{10}$ ____ 50% (iii) $\frac {3}{11}$ ____ 61% (iv) 30% ____ $\frac {1}{3}$

(i) 50% > 5% (ii) $\frac {5}{10}$ = 50% (iii) $\frac {3}{11}$

Q: Is 10% of a day longer than 1% of a week? Create such questions and challenge your peers.

Yes, 10% of a day = $\frac {10}{100}$ × 24 hrs = 2.4 hr 1% of week = $\frac {1}{100}$ × (24 × 7) hrs = 1.68 hrs 10% of a day > 1 % of a week. Is 10% of a month (30 days) 10% of a score (20)? Is 80% of a century

Q: Mariam’s farm has a peculiar bull. One day, she gave the bull 2 units of fodder, and the bull ate 1 unit. The next day, she gave the bull 3-units of fodder, and the bull ate 2 units. The day after, she gave the bull 4 units, and the bull ate 3 units. This continued, and on the 99th day, she gave the bull 100 units, and the bull ate 99 units. Represent these quantities as percentages. This task can be distributed among the class. What do you observe?

$\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{98}{99}, \frac{99}{100},$ 50%, 66$\frac {2}{3}$%, 75%, 80%,… 98$\frac {98}{99}$%, 99%. It follows the pattern $\left(\frac{n}{n+1}\right)$ × 100 where n is the day number. As n increases, the percentage gets closer and closer to 100%, but never quite reaches it.

Q: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions — Rava: 40%, Sugar: 40%, and Ghee: 20%. (i) If you want to make halwa for 8 people, what is the proportion of each of the above ingredients? (ii) If the total weight of the ingredients is 2 kg, how much rava, sugar, and ghee are present?

(i) Proportion remains the same. (ii) Rava = $\frac {40}{100}$ × 2 kg = 0.8 kg Sugar = $\frac {40}{100}$ × 2 kg = 0.8 kg Ghee = $\frac {20}{100}$ × 2 kg = 0.4 kg 1.3 Using Percentages Figure It Out (Pages 19-20)

Q: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1 and get 1 free.” Shop B: “Buy 2 and get 1 free.” Shop C: “Buy 3 and get 1 free”. Answer the following: (i) If the price of one item is ₹ 100, what is the effective price per item in each shop? Arrange the shops from cheapest to costliest. (ii) For each shop, calculate the percentage discount on the items. [Hint: Compare the free items to the total items you receive.] (iii) Suppose you need 4 items

(i) Effective price per item at shop A = ₹ $\frac {100}{2}$ = ₹ 50 Effective price per item at shop B = ₹ $\frac {200}{3}$ = ₹ 66$\frac {2}{3}$ Effective price per item at shop C = ₹ $\frac {300}{4}$ = ₹ 75 Cheapest to costliest: A; B; C. (ii) Discount at shop A = $\frac {1}{2}$ × 100% = 50% Discount at shop B = $\frac {1}{3}$ × 100% = 66$\frac {2}{3}$% Discount at shop C = $\frac {1}{4}$ × 100% = 25% (iii) To buy 4 items, we choose shop A. Pay for 2, and the other 2 are free.

Question 1

Find the missing numbers. The first problem has been worked out.

Accepted Answer

(i) 20%; 60
(ii) 10%; 54
(iii) 25%; 105

Source: This question is from Fractions in Disguise, Mathematics &mdash; Class 8, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Fractions in Disguise: Missing, Numbers, First, Problem, Worked, Out. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Fractions in DisguiseQ10: The badminton coach has planned the training sessions such that the ratio of warm-up: play: cool...
Q11: An estimated 90% of the world’s population lives in the Northern Hemisphere. Find the (approximate)...
Q12: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions...
Q13: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1...
Q14: In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to...
Practice more questions from Fractions in Disguise &mdash; Mathematics, Class 8 CBSE

Question 2

Nandini has 25 marbles, of which 15 are white. What percentage of her marbles are white?
(i) 10%
(ii) 15%
(iii) 25%
(iv) 60%
(v) 40%
(vi) None of these

Accepted Answer

(iv) 60%
Percentage of white marbles = $\frac {15}{25}$ × 100% = 60%

Source: This question is from Fractions in Disguise, Mathematics &mdash; Class 8, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Fractions in Disguise: Nandini, Marbles, White, Percentage, Iii, None. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Fractions in DisguiseQ10: The badminton coach has planned the training sessions such that the ratio of warm-up: play: cool...
Q11: An estimated 90% of the world’s population lives in the Northern Hemisphere. Find the (approximate)...
Q12: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions...
Q13: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1...
Q14: In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to...
Practice more questions from Fractions in Disguise &mdash; Mathematics, Class 8 CBSE

Question 3

In a school, 15 of the 80 students come to school by walking. What percentage of the students come by walking?

Accepted Answer

Percentage of students coming by walking = $\frac {15}{80}$ × 100% = 18.75%

Source: This question is from Fractions in Disguise, Mathematics &mdash; Class 8, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Fractions in Disguise: School, Students, Come, Walking, Percentage, Fractions in Disguise. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Fractions in DisguiseQ10: The badminton coach has planned the training sessions such that the ratio of warm-up: play: cool...
Q11: An estimated 90% of the world’s population lives in the Northern Hemisphere. Find the (approximate)...
Q12: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions...
Q13: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1...
Q14: In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to...
Practice more questions from Fractions in Disguise &mdash; Mathematics, Class 8 CBSE

Question 4

A group of friends is participating in a long-distance run. The positions of each of them after 15 minutes are shown in the following picture. Match (among the given options) what percentage of the race each of them has approximately completed.

Accepted Answer

A = 20%
B = 38%
C = 72%
D = 93%

Source: This question is from Fractions in Disguise, Mathematics &mdash; Class 8, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Fractions in Disguise: Group, Friends, Participating, Long, Distance, Run. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Fractions in DisguiseQ10: The badminton coach has planned the training sessions such that the ratio of warm-up: play: cool...
Q11: An estimated 90% of the world’s population lives in the Northern Hemisphere. Find the (approximate)...
Q12: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions...
Q13: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1...
Q14: In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to...
Practice more questions from Fractions in Disguise &mdash; Mathematics, Class 8 CBSE

Question 5

A pair of quantities is shown below. Identify and write appropriate symbols ‘>’, ‘<’, ‘=’ in the blanks. Try to do it without calculations.
(i) 50% ____ 5%
(ii) $\frac {5}{10}$ ____ 50%
(iii) $\frac {3}{11}$ ____ 61%
(iv) 30% ____ $\frac {1}{3}$

Accepted Answer

(i) 50% > 5%
(ii) $\frac {5}{10}$ = 50%
(iii) $\frac {3}{11}$

Question 6

Fill in the blanks:
(i) 3 is ____ % of 300.
(ii) ____ is 40% of 4.
(iii) 40 is 80% of ____

Accepted Answer

(i) 1 ($\frac {3}{300}$ × 100% = 1%)
(ii) 1.6 ($\frac {4}{100}$ × 4 = 1.6)
(iii) 50 ($\frac {40}{80}$ × 100 = 50)

Source: This question is from Fractions in Disguise, Mathematics &mdash; Class 8, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Fractions in Disguise: Fill, Blanks, Iii, Fractions in Disguise, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Fractions in DisguiseQ10: The badminton coach has planned the training sessions such that the ratio of warm-up: play: cool...
Q11: An estimated 90% of the world’s population lives in the Northern Hemisphere. Find the (approximate)...
Q12: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions...
Q13: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1...
Q14: In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to...
Practice more questions from Fractions in Disguise &mdash; Mathematics, Class 8 CBSE

Question 7

Is 10% of a day longer than 1% of a week? Create such questions and challenge your peers.

Accepted Answer

Yes, 10% of a day = $\frac {10}{100}$ × 24 hrs = 2.4 hr
1% of week = $\frac {1}{100}$ × (24 × 7) hrs = 1.68 hrs
10% of a day > 1 % of a week.
Is 10% of a month (30 days)  10% of a score (20)?
Is 80% of a century

Question 8

Mariam’s farm has a peculiar bull. One day, she gave the bull 2 units of fodder, and the bull ate 1 unit. The next day, she gave the bull 3-units of fodder, and the bull ate 2 units. The day after, she gave the bull 4 units, and the bull ate 3 units. This continued, and on the 99th day, she gave the bull 100 units, and the bull ate 99 units. Represent these quantities as percentages. This task can be distributed among the class. What do you observe?

Accepted Answer

$\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{98}{99}, \frac{99}{100},$
50%, 66$\frac {2}{3}$%, 75%, 80%,… 98$\frac {98}{99}$%, 99%.
It follows the pattern $\left(\frac{n}{n+1}\right)$ × 100 where n is the day number.
As n increases, the percentage gets closer and closer to 100%, but never quite reaches it.

Question 9

Workers in a coffee plantation take 18 days to pick coffee berries in 20% of the plantation. How many days will they take to complete the picking work for the entire plantation, assuming the rate of work stays the same? Why is this assumption necessary?

Accepted Answer

(20% work in 18 days) × 5 = 100% work in 90 days.
The work will be completed in 90 days.
Necessary Assumptions
Weather conditions might change.
Workers might get tired over time. This reduces their efficiency.
Some workers might take leave or breaks.

Question 10

The badminton coach has planned the training sessions such that the ratio of warm-up: play: cool down is 10% : 80% : 10%. If he wants to conduct a training of 90 minutes. How long should each activity last?

Accepted Answer

Warm-up time = 10% of 90 min
= $\frac {10}{100}$ × 90
= 9 min
Play time = 80% of 90 min
= $\frac {80}{100}$ × 90
= 72 min
Cool down time = 10% of 90 min = 9 min.

Source: This question is from Fractions in Disguise, Mathematics &mdash; Class 8, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Fractions in Disguise: Badminton, Coach, Planned, Training, Sessions, Ratio. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Fractions in DisguiseQ11: An estimated 90% of the world’s population lives in the Northern Hemisphere. Find the (approximate)...
Q12: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions...
Q13: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1...
Q14: In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to...
Q15: Look at the following graph. Based on the graph, which of the following statements are valid? (i)...
Practice more questions from Fractions in Disguise &mdash; Mathematics, Class 8 CBSE

Question 11

An estimated 90% of the world’s population lives in the Northern Hemisphere. Find the (approximate) number of people living in the Northern Hemisphere based on this year’s worldwide population.

Accepted Answer

World population as of Jan 1, 2026 = 8.3 billion
90% of 8.3 billion = $\frac {90}{100}$ × 8.3 billion = 7.47
Hence, 7.47 billion people live in northern hemisphere.

Source: This question is from Fractions in Disguise, Mathematics &mdash; Class 8, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Fractions in Disguise: Estimated, World, Population, Lives, Northern, Hemisphere. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Fractions in DisguiseQ10: The badminton coach has planned the training sessions such that the ratio of warm-up: play: cool...
Q12: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions...
Q13: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1...
Q14: In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to...
Q15: Look at the following graph. Based on the graph, which of the following statements are valid? (i)...
Practice more questions from Fractions in Disguise &mdash; Mathematics, Class 8 CBSE

Question 12

A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions — Rava: 40%, Sugar: 40%, and Ghee: 20%.
(i) If you want to make halwa for 8 people, what is the proportion of each of the above ingredients?
(ii) If the total weight of the ingredients is 2 kg, how much rava, sugar, and ghee are present?

Accepted Answer

(i) Proportion remains the same.
(ii) Rava = $\frac {40}{100}$ × 2 kg = 0.8 kg
Sugar = $\frac {40}{100}$ × 2 kg = 0.8 kg
Ghee = $\frac {20}{100}$ × 2 kg = 0.4 kg
1.3 Using Percentages
Figure It Out (Pages 19-20)

Question 13

Three shops sell the same items at the same price. The shops offer deals as follows:
Shop A: “Buy 1 and get 1 free.”
Shop B: “Buy 2 and get 1 free.”
Shop C: “Buy 3 and get 1 free”.
Answer the following:
(i) If the price of one item is ₹ 100, what is the effective price per item in each shop? Arrange the shops from cheapest to costliest.
(ii) For each shop, calculate the percentage discount on the items.
[Hint: Compare the free items to the total items you receive.]
(iii) Suppose you need 4 items

Accepted Answer

(i) Effective price per item at shop A = ₹ $\frac {100}{2}$ = ₹ 50
Effective price per item at shop B = ₹ $\frac {200}{3}$ = ₹ 66$\frac {2}{3}$
Effective price per item at shop C = ₹ $\frac {300}{4}$ = ₹ 75
Cheapest to costliest: A; B; C.
(ii) Discount at shop A = $\frac {1}{2}$ × 100% = 50%
Discount at shop B = $\frac {1}{3}$ × 100% = 66$\frac {2}{3}$%
Discount at shop C = $\frac {1}{4}$ × 100% = 25%
(iii) To buy 4 items, we choose shop A. Pay for 2, and the other 2 are free.

Question 14

In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to bring that percentage down to 98%?

Accepted Answer

No. of people in room = 100
No. of left handers = 99% of 100 = 99
No. of right-handers = 1
Let x people leave.
No. of left-handers is 98%.
and no. of right-handers is 2%.
Then $\frac{99-x}{100-x}=\frac{98}{100}$
⇒ 100(99 – x) = 98(100 – x)
⇒ 9900 – 100x = 9800 – 98x
⇒ 9900 – 9800 = 100x – 98x
⇒ 2x = 100
⇒ x = 50
∴ 50 left-handers must leave the room.

Question 15

Look at the following graph.
Based on the graph, which of the following statements are valid?
(i) People in their twenties are the most computer-literate among all age groups.
(ii) Women lag in the ability to use computers across age groups.
(iii) There are more people in their twenties than teenagers.
(iv) More than a quarter of people in their thirties can use computers.
(v) Less than 1 in 10 aged 60 and above can use computers.
(vi) Half of the people in their twenties can use computers.

Accepted Answer

(i) True
(ii) True
(iii) True
(iv) False
(v) True
(vi) False

Source: This question is from Fractions in Disguise, Mathematics &mdash; Class 8, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Fractions in Disguise: Look, Graph, Based, Statements, Valid, People. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 8 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Fractions in DisguiseQ10: The badminton coach has planned the training sessions such that the ratio of warm-up: play: cool...
Q11: An estimated 90% of the world’s population lives in the Northern Hemisphere. Find the (approximate)...
Q12: A recipe for the dish, ha I wa, for 4 people has the following ingredients in the given proportions...
Q13: Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1...
Q14: In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to...
Practice more questions from Fractions in Disguise &mdash; Mathematics, Class 8 CBSE