Important Questions (Practical) Class 8 Maths Ganita Prakash – II Chapter 1 Fractions in Disguise

Short Practical Questions

1. A shop gives 20% discount on a bag costing ₹200. Find discount.

Solution:
Step 1: Write percentage as fraction

$$20\mathrm{\%}=\frac{20}{100}$$Step 2: Multiply with price

$$\frac{20}{100} \times 200 = 40$$

Answer: ₹40

2. Riya scored 45 out of 50. Find percentage.

Solution:
Step 1: Write formula

$$\text{Percentage}=\frac{\text{Marks obtained}}{\text{Total marks}}\times 100$$

Step 2: Substitute values

$$\frac{45}{50}\times 100=90$$

Answer: 90%

3. A drink has 25% juice. Total = 200 ml.

Solution:
Step 1: Convert percentage

$$25\mathrm{\%}=\frac{25}{100}$$

Step 2: Multiply

$$\frac{25}{100}\times 200=50$$

Answer: 50 ml

4. A student completes 60% of 50 questions.

Solution:
Step 1: Convert

$$60\mathrm{\%}=\frac{60}{100}$$

Step 2: Multiply

$$\frac{60}{100}\times 50=30$$

Answer: 30 questions

5. A shirt costs ₹500. Discount is 10%.

Solution:
Step 1: Convert

$$10\mathrm{\%}=\frac{10}{100}$$

Step 2: Multiply

$$\frac{10}{100}\times 500=50$$

Answer: ₹50

6. A farmer harvested 40% of 500 kg crop.

Solution:
Step 1: Convert

$$40\mathrm{\%}=\frac{40}{100}$$

Step 2: Multiply

$$\frac{40}{100}\times 500=200$$

Answer: 200 kg

7. In a class of 40 students, 50% are boys.

Solution:
Step 1: Convert

$$50\mathrm{\%}=\frac{50}{100}$$

Step 2: Multiply

$$\frac{50}{100}\times 40=20$$

Answer: 20 boys

8. A tank is 75% full. Capacity = 1000 litres.

Solution:
Step 1: Convert

$$75\mathrm{\%}=\frac{75}{100}$$

Step 2: Multiply

$$\frac{75}{100}\times 1000=750$$

Answer: 750 litres

9. A person spends 30% of ₹1000.

Solution:
Step 1: Convert

$$30\mathrm{\%}=\frac{30}{100}$$

Step 2: Multiply

$$\frac{30}{100}\times 1000=300$$

Answer: ₹300

10. A runner completes 80% of 200 m race.

Solution:
Step 1: Convert

$$80\mathrm{\%}=\frac{80}{100}$$

Step 2: Multiply

$$\frac{80}{100}\times 200=160$$

Answer: 160 m

Long Practical Questions

1. A bag costs ₹800. Shop gives 25% discount. Find discount and selling price.

Solution:
Step 1: Convert percentage

$$25\mathrm{\%}=\frac{25}{100}$$

Step 2: Find discount

$$\frac{25}{100}\times 800=200$$

Step 3: Find selling price

$$800-200=600$$

Answer: Discount = ₹200, Selling Price = ₹600

2. A student scores 60 out of 75. Passing marks = 50%.

Solution:
Step 1: Find percentage

$$\frac{60}{75}\times 100=80$$

Step 2: Compare

$$80\mathrm{\%}>50\mathrm{\%}$$

Answer: 80%, Student passed

3. A tank has 60% water of 500 litres capacity. Find water needed to fill tank.

Solution:
Step 1: Find water present

$$\frac{60}{100}\times 500=300$$

Step 2: Find remaining

$$500-300=200$$

Answer: 200 litres

4. Daily target = ₹5000. Sales = ₹6500. Find percentage achieved.

Solution:
Step 1: Use formula

$$\frac{\text{Actual}}{\text{Target}}\times 100$$

Step 2: Substitute

$$\frac{6500}{5000}\times 100=130$$

Answer: 130%

5. In a class of 80 students, 75% attended. Find present and absent students.

Solution:
Step 1: Find present

$$\frac{75}{100}\times 80=60$$

Step 2: Find absent

$$80-60=20$$

Answer: Present = 60, Absent = 20