Fractions in Disguise for Class 8: Important Questions and Answers

Fractions in Disguise for Class 8: Important Questions and Answers are available in this Maths article. Fractions in Disguise for Class 8: Important Questions and Answers are very useful to solve problems easily. This article helps the students to know the key questions and answers about Fractions in Disguise. Our subject experts have provided detailed solutions for these problems based on the CBSE syllabus and the NCERT textbook. This material helps students revise the chapter easily and perform well in the final examination.

Table of Contents

• What Does Fractions in Disguise Mean?
• Exercise 1: Fractions in Disguise Class 8 Important Questions
• Exercise 2: Fractions, Decimals and Percentages Questions
• Exercise 3: Percentage Word Problems for Class 8
• Exercise 4: Profit, Loss and Discount Questions
• Exercise 5: Fractions in Disguise MCQ Questions
• Most Repeated Board Questions On Fractions in Disguise for Class 8
• Frequently Asked Questions on Fractions in Disguise for Class 8

What Does Fractions in Disguise Mean?

Fractions in Disguise means representing fractions in different forms while keeping the same value. The same fraction can be written as a common fraction, a decimal, a percentage, or a ratio. Students need to recognise that 1/2 is the same as 0.5, 50%, and 1:2. Understanding these conversions helps students work with fractions more flexibly and solve problems in different ways.

Exercise 1: Fractions in Disguise Class 8 Important Questions

Question 1: Convert 4/5 into percentage.

Solution

$\frac{4}{5}\times100=80$

Answer: 80%

Question 2: Convert 3/20 into percentage.

Solution

$\frac{3}{20}\times100=15$

Answer: 15%

Question 3: Convert 45% into fraction.

Solution

45% = $\frac{45}{100}=\frac{9}{20}$

Answer: 9/20

Question 4: Convert 0.75 into percentage.

Solution

$0.75\times100=75$

Answer: 75%

Question 5: Find 20% of 350.

Solution

$\frac{20}{100}\times350=70$

Answer: 70

Exercise 2: Fractions, Decimals and Percentages Questions

Question 1: Convert 2/25 into decimal and percentage.

Solution

$\frac{2}{25}=0.08=8$

Answer: 0.08 and 8%

Question 2: Convert 125% into decimal.

Solution

125% = $\frac{125}{100}=1.25$

Answer: 1.25

Question 3: Convert 0.4 into fraction.

Solution

$0.4=\frac{4}{10}=\frac{2}{5}$

Answer: 2/5

Question 4: Find 35% of 480.

Solution

$\frac{35}{100}\times480=168$

Answer: 168

Question 5: A student scored 36 out of 45 marks. Find the percentage scored.

Solution

$\frac{36}{45}\times100=80$

Answer: 80%

Exercise 3: Percentage Word Problems for Class 8

Question 1: Out of 200 students, 150 students passed the exam. Find the percentage of students who passed.

Solution

$\frac{150}{200}\times100=75$

Answer: 75%

Question 2: Find 15% of 900.

Solution

$\frac{15}{100}\times900=135$

Answer: 135

Question 3: A shirt priced at ₹1200 is sold at a discount of 10%. Find the discount amount.

Solution

$\frac{10}{100}\times1200=120$

Answer: ₹120

Question 4: Find 60% of 250.

Solution

$\frac{60}{100}\times250=150$

Answer: 150

Question 5: The population of a village increased from 4000 to 5000. Find the percentage increase.

Solution

Increase = 1000

$\frac{1000}{4000}\times100=25$

Answer: 25%

Exercise 4: Profit, Loss and Discount Questions

Question 1: A bag costing ₹800 is sold for ₹960. Find the profit percentage.

Solution

Profit = ₹160

$\frac{160}{800}\times100=20$

Answer: 20%

Question 2: A toy costing ₹500 is sold for ₹450. Find the loss percentage.

Solution

Loss = ₹50

$\frac{50}{500}\times100=10$

Answer: 10%

Question 3: An item marked at ₹2500 is sold for ₹2250. Find the discount percentage.

Solution

Discount = ₹250

$\frac{250}{2500}\times100=10$

Answer: 10%

Question 4: A pen costing ₹40 is sold for ₹50. Find the profit percentage.

Solution

Profit = ₹10

$\frac{10}{40}\times100=25$

Answer: 25%

Question 5: A bicycle costing ₹6000 is sold for ₹5400. Find the loss percentage.

Solution

Loss = ₹600

$\frac{600}{6000}\times100=10$

Answer: 10%

Exercise 5: Fractions in Disguise MCQ Questions

Question 1: 50% as a decimal is:

A) 0.05
B) 0.5
C) 5
D) 50

Solution

50% =  $0.5$

Answer: B) 0.5

Question 2: The fraction equivalent to 20% is:

A) 1/2
B) 1/4
C) 1/5
D) 2/5

Solution

20% = $\frac{20}{100}=\frac{1}{5}$

Answer: C) 1/5

Question 3: Find 25% of 200.

A) 25
B) 40
C) 50
D) 75

Solution

$\frac{25}{100}\times200=50$

Answer: C) 50

Question 4: 0.9 as a percentage is:

A) 9%
B) 90%
C) 0.9%
D) 900%

Solution

$0.9\times100=90$

Answer: B) 90%

Question 5: A shopkeeper bought an item for ₹1000 and sold it for ₹1200. The profit percentage is:

A) 10%
B) 15%
C) 20%
D) 25%

Solution

Profit = ₹200

$\frac{200}{1000}\times100=20$

Answer: C) 20%

Most Repeated Board Questions On Fractions in Disguise for Class 8

Question 1: Convert the following fractions into percentages:

(i) 3/4
(ii) 7/20
(iii) 9/25

Solution

(i) $\frac{3}{4}\times100=75$

(ii) $\frac{7}{20}\times100=35$

(iii) $\frac{9}{25}\times100=36$

Answers

(i) 75%
(ii) 35%
(iii) 36%

Question 2: Convert the following decimals into percentages:

(i) 0.35
(ii) 1.25
(iii) 0.08

Solution

(i) $0.35\times100=35$

(ii) $1.25\times100=125$

(iii) $0.08\times100=8$

Answers

(i) 35%
(ii) 125%
(iii) 8%

Question 3: Convert 45% into fraction in simplest form.

Solution: 45% = $\frac{45}{100}=\frac{9}{20}$

Answer: 9/20

Question 4: Find 25% of 480.

Solution

$\frac{25}{100}\times480=120$

Answer: 120

Question 5: A student scored 63 marks out of 84. Find the percentage obtained.

Solution

$\frac{63}{84}\times100=75$

Answer: 75%

Question 6: Out of 160 students, 120 students passed the examination. Find the percentage of students who passed.

Solution

$\frac{120}{160}\times100=75$

Answer: 75%

Question 7: A shopkeeper bought a table for ₹2400 and sold it for ₹3000. Find the profit percentage.

Solution

Profit = ₹600

$\frac{600}{2400}\times100=25$

Answer: 25%

Question 8: A bicycle costing ₹5000 was sold for ₹4500. Find the loss percentage.

Solution

Loss = ₹500

$\frac{500}{5000}\times100=10$

Answer: 10%

Question 9: An item marked at ₹4000 is sold at a discount of 15%. Find the discount amount.

Solution

$\frac{15}{100}\times4000=600$

Answer: ₹600

Question 10: Find the simple interest on ₹8000 at 5% per annum for 3 years.

Solution

$SI=\frac{8000\times5\times3}{100}=1200$

Answer: ₹1200

Question 11: Calculate the amount on ₹5000 compounded annually at 10% for 2 years.

Solution

$A=5000\left(1+\frac{10}{100}\right)^2$

$A=5000(1.1)^2=6050$

Answer: ₹6050

Question 12: Find 12.5% of 640.

Solution

$\frac{12.5}{100}\times640=80$

Answer: 80

Question 13: A shirt marked at ₹2500 is sold for ₹2250. Find the discount percentage.

Solution

Discount = ₹250

$\frac{250}{2500}\times100=10$

Answer: 10%

Question 14: The population of a city increased from 50,000 to 60,000. Find the percentage increase.

Solution

Increase = 10,000

$\frac{10000}{50000}\times100=20$

Answer: 20%

Question 15: A number is increased by 25% and then decreased by 25%. Find the final percentage change.

Solution

Assume the number is 100.

Increase by 25%:

100 + 25 = 125

Decrease 25% of 125:

$125-\frac{25}{100}\times125=93.75$

Answer: There is a 6.25% decrease overall.