Class 8 Maths – Chapter 8

Comparing Quantities

Worksheet – FULL Answers (Step-by-Step)

🔹 Section A: Percentage

1(a) 3/4 as percentage

= (3 ÷ 4) × 100 = 75%

1(b) 0.35 as percentage

= 0.35 × 100 = 35%

1(c) 7/20 as percentage

= (7 ÷ 20) × 100 = 35%

2(a) 25% = 25/100 = 1/4

2(b) 12.5% = 12.5/100 = 1/8

2(c) 80% = 80/100 = 4/5

🔹 Section B: Profit & Loss

3(a) CP = ₹250, SP = ₹300

Gain = 300 − 250 = ₹50

Gain

3(b) CP = ₹480, SP = ₹420

Loss = 480 − 420 = ₹60

Loss

4(a) CP = ₹400, Gain = ₹80

Gain % = (80 ÷ 400) × 100 = 20%

4(b) CP = ₹600, Loss = ₹90

Loss % = (90 ÷ 600) × 100 = 15%

🔹 Section C: Discount

5(a) MP = ₹800, SP = ₹720

Discount = 800 − 720 = ₹80

5(b) MP = ₹1500, SP = ₹1350

Discount = 1500 − 1350 = ₹150

6(a) MP = ₹500, Discount = ₹50

Discount % = (50 ÷ 500) × 100 = 10%

6(b) MP = ₹2000, Discount = ₹300

Discount % = (300 ÷ 2000) × 100 = 15%

🔹 Section D: Simple Interest

7(a) P = ₹1000, R = 5%, T = 2 years

SI = (P × R × T) / 100

= (1000 × 5 × 2) / 100 = ₹100

7(b) P = ₹2500, R = 8%, T = 3 years

SI = (2500 × 8 × 3) / 100 = ₹600

8(a) P = ₹1500, SI = ₹300

Amount = P + SI = ₹1800

8(b) P = ₹2000, SI = ₹480

Amount = P + SI = ₹2480

🔹 Section E: Word Problems

9. CP = ₹1200, SP = ₹1380

Gain = 1380 − 1200 = ₹180

Gain % = (180 ÷ 1200) × 100 = 15%

10. P = ₹4000, R = 6%, T = 2 years

SI = (4000 × 6 × 2) / 100 = ₹480

📌 Exam Tip: Always write formula first. Show all steps to get full marks.