Fractions in Disguise Class 8 Maths Worksheet with Answers Chapter 1

Ganita Prakash Part-II, Grade 8, Textbook of Mathematics – Now, this is the first chapter of the Ganita Prakash Part-II. The chapter 1 is all about “Fractions in Disguise”. In the worksheet we have below, we are going to cover all the important topics covered in the chapter. Below are the top ones –

• Fractions to percentages
• Percent to fractions
• Percent of quantity
• Profit loss percentage
• Discount and interest

The entire worksheet is divided into 4 parts – Basic, Standard, Advance, and HOTS. The answers are there after the 24 questions in this worksheet.

Class 8 Maths Worksheet – Chapter 1: Fractions in Disguise

Basic

1. Convert these fractions to percentages:
   • 3/5
   • 7/14
   • 9/20
2. Convert these percentages to simplest fractions:
   • 24%
   • 75%
   • 12%
3. Find:
   • 25% of 160
   • 10% of 250
   • 5% of 80
4. Convert between forms:
   • 0.43 as a percentage
   • 1/2 as a decimal
   • 50% as a fraction
5. Nandini has 25 marbles. 15 are white. What percentage are white?
6. Without heavy calculation, decide which is larger:
   • 3/11 or 27%

Standard

1. In a school, 15 out of 80 students come by walking. Find the percentage.
2. Sugar makes up 9/34 of Biscuit A and 13/45 of Biscuit B.
   Which biscuit is more sugary? (Answer using percentages.)
3. Eesha scored 42/50 in English and 70/80 in Science.
   In which subject did she perform better? (Use percentages.)
4. A cooker has MRP ₹1800 and a discount of 35%.
   Find the selling price.
   If the cost price is ₹900, find the profit percentage.
5. Petrol price was ₹60 in 2015 and ₹100 in 2025.
   Find the percentage increase.
6. A number increases by 20% and becomes 90.
   Find the original number.

Advance

1. A cyclist has completed 40% of a journey and covered 92 km.
   Find:
   • Total distance
   • Remaining distance
2. A shopkeeper’s target is ₹5000.
   On a day, he achieves 150% of the target.
   Find the sales for that day.
3. Kishanlal buys a sweater for ₹300 and sells it for ₹430.
   Find the profit percentage.
4. Raghu bought rice at ₹35 per kg.
   He sells 10 kg for ₹300.
   Find the percentage loss.
5. A car is bought for ₹4,40,000 after a 15% discount.
   Find the original price (before discount).
6. Deposit ₹6000 at 10% p.a. for 3 years:
   • Final amount without compounding
   • Final amount with yearly compounding

HOTS

1. A shop offers: “20% discount” OR “₹50 discount” for purchases above ₹150.
   Which option gives more discount for:
   • ₹180 purchase
   • ₹225 purchase
   • ₹300 purchase
2. A cake costs ₹200.
   Shop A offers 30% + 20% discount (applied one after another).
   Shop B offers 50% discount.
   Which shop is cheaper, and what is the final price?
3. A shopkeeper sets selling price with 35% profit margin.
   Then offers 30% discount on that selling price.
   Will it be profit or loss? Find the profit/loss percentage.
4. A city’s population increases by 3% every year.
   Current population is 1.5 crore.
   Estimate the population after 3 years (use compounding).
5. A TV costs ₹21,000 and depreciates by 5% in 1 year.
   Find its value after 1 year.
6. Would You Rather:
   • Option A: Deposit ₹100, get back ₹300
   • Option B: Deposit ₹1000, get back ₹1500

   Find percentage gain in both options, and state which is better for:

   • Higher percentage gain
   • Higher absolute gain

Answer Key

Basic – Answers

1. • 3/5 = 60% Hint: Multiply by 100.
   • 7/14 = 50% Hint: Simplify to 1/2.
   • 9/20 = 45% Hint: 9 × 5 = 45.
2. • 24% = 24/100 = 6/25 Hint: Divide by 4.
   • 75% = 75/100 = 3/4 Hint: Divide by 25.
   • 12% = 12/100 = 3/25 Hint: Divide by 4.
3. • 25% of 160 = 40 Hint: 25% = 1/4.
   • 10% of 250 = 25 Hint: Divide by 10.
   • 5% of 80 = 4 Hint: 10% is 8, half is 4.
4. • 0.43 = 43% Hint: ×100.
   • 1/2 = 0.5 Hint: 1 ÷ 2.
   • 50% = 50/100 = 1/2 Hint: Simplify.
5. 60%
   • Hint: 15/25 = 3/5 = 60%.
6. 3/11 is larger
   • Hint: 3/11 ≈ 0.2727 = 27.27% which is slightly more than 27%.

Standard – Answers

1. 18.75%
   • Hint: 15/80 = 3/16 = 0.1875.
2. Biscuit B is more sugary
   • Hint: 9/34 ≈ 26.47%, 13/45 ≈ 28.89%.
3. Science
   • Hint: 42/50 = 84%, 70/80 = 87.5%.
4. Selling price = ₹1170, Profit% = 30%
   • Hint: 35% off means pay 65%: 0.65 × 1800 = 1170.
   • Hint: Profit = 1170 − 900 = 270, Profit% = 270/900 × 100 = 30%.
5. 66.67% (approx.)
   • Hint: Increase = 40, base = 60, so 40/60 × 100.
6. 75
   • Hint: New = Old × 1.2, so Old = 90/1.2.

Advance – Answers

1. Total distance = 230 km, Remaining = 138 km
   • Hint: 40% is 92, so 100% is 92 × 100/40.
2. ₹7500
   • Hint: 150% of 5000 = 1.5 × 5000.
3. 43.33% (approx.)
   • Hint: Profit = 130, Profit% = 130/300 × 100.
4. 14.29% (approx.)
   • Hint: Cost = 350, SP = 300, loss = 50, loss% = 50/350 × 100.
5. ₹5,17,647.06 (approx.)
   • Hint: Paid = 85% of original, so original = 4,40,000/0.85.
6. Without compounding = ₹7800, With compounding = ₹7986
   • Hint: Simple: 6000(1 + 0.10 × 3).
   • Hint: Compound: 6000 × 1.1³.

HOTS – Answers

1. • ₹180: ₹50 discount is better Hint: 20% of 180 = 36.
   • ₹225: ₹50 discount is better Hint: 20% of 225 = 45.
   • ₹300: 20% discount is better Hint: 20% of 300 = 60.
2. Shop B is cheaper, final price ₹100
   • Hint: Shop A: 200 → 30% off = 140, then 20% off = 112.
   • Hint: Shop B: 50% off = 100.
3. Loss of 5.5%
   • Hint: Take CP = 100, SP = 135, after 30% discount = 0.7 × 135 = 94.5.
   • Hint: Loss = 100 − 94.5 = 5.5, so 5.5% loss.
4. About 1.64 crore
   • Hint: 1.5 × 1.03³ ≈ 1.5 × 1.0927 ≈ 1.64.
5. ₹19,950
   • Hint: Value = 95% of 21,000 = 0.95 × 21,000.
6. Option A gain = 200%, Option B gain = 50%
   • Hint: Percentage gain = (gain/base) × 100.
   • Higher % gain: Option A
   • Higher absolute gain: Option B (₹500 gain vs ₹200 gain)

Worksheet From Other Chapters

Ganita Prakash Part-I

• A Square and a Cube Class 8 Maths Worksheet with Answers
• Power Play Class 8 Maths Worksheet with Answers
• A Story of Numbers Class 8 Maths Worksheet with Answers
• Number Play Class 8 Maths Worksheet with Answers
• We Distribute, Yet Things Multiply Class 8 Maths Worksheet with Answers
• Proportional Reasoning-1 Class 8 Maths Worksheet with Answers

Ganita Prakash Part-II

• Proportional Reasoning–2 Class 8 Maths Worksheet with Answers
• Algebra Play Class 8 Maths Worksheet with Answers