Practice the questions given in the worksheet on percentage of a number.

We know, to find the percent of a number we obtain the given number and then multiply the number by the required percent i.e., x % of a = \(\frac{x}{100}\) × a

1. Find the
following:

(i) 22 % of 140   

(ii) 25 % of $ 750               

(iii) 16.5 % of 5000 kg

(iv) 2¹/₂ % of 80 l

(v) 0.4 % of 8 km              

(vi) 120 % of 1000

(vii) 12 % of 360 m       

(viii) 2²/₇ % of 7 l

(ix) 0.8 % of 250 g

(x) \(\frac{3}{4}\) % of $ 780

(xi) 12 % of 620

(xii) 1.25 % of 1250 mg

(xiii) 3¹/₄ % of $ 5000

(xiv) \(\frac{3}{5}\) % of 725 cm

(xv) 3¹/₃ % of 90 km

2. Find the value of the following:

(i) 5% of 30 m

(ii) 12% of $800

(iii) 10% of 70 km

(iv) 4.5% of 250 g

(v) 30% of $200

(vi) 12% of 100 kg

(vii) 125% of 16 l

(viii) 8% of 150 cm

(ix) 8% of 1 kg

(x) 25% of $350

3. What is 5 % of
$ 1400?

4. What is 7 % of
$ 7150?

5. What is 40 %
of 400 kg?

6. Which is greater? Put >, < or = sign.

(i) 15% of 70 m …………. 25% of 60 m

(ii) 8% of $500 …………. 5% of $1000

(iii) 50% of 1 kg …………. 20% of 2000 g

(iv) 15% of $250 …………. 40% of $150

7. Find the percentage of the following number:

(i) 20% of 70

(ii) 15% of 50

(iii) 80% of 200

(iv) 120% of 100

(v) 12% of 25

(vi) 130% of 600

(vii) 75% of 100

(viii) 25% of 200

(ix) 15% of 50

(x) 5% of 40

(xi) 39% of 780

(xii) 17% of 527

(xiii) 25% of 70

(xiv) 19% of 57

(xv) 35% of 105

(xvi) 12% of 840

(xvii) 17% of 153

(xviii) 24% of 120

(xix) 3% of 270

(xx) 24% of 250

(xxi) 15% of 555

(xxii) 29% of 650

(xxiii) 87% of 980

(xxiv) 61% of 525

8. Find the value of the following.

(i) 12% of 25 kg

(ii) 40% of 75 l

(iii) 70% of Rs. 925

(iv) 80% of 700 km

(v) 25% of Rs. 2025

(vi) 60% of 500 m

(vii) 9% of 350 cm

(viii) 34% of Rs. 970

(ix) 24% of 300 km

(x) 72% of 1240  l

(xi) 84% of 630 m

(xii) 16% of Rs. 176

9. Which is greater?

(i) 13% of 330 or 14% of 440

(ii) 15% of 300 or 10% of 420

(iii) 12% of 500 or 22% of 220

(iv) 22% of 600 or 19% of 770

(v) 25% of 350 or 30% of 300

(vi) 35% of 700 or 30% of 940

(vii) 21% of 760 or 20% of 920

(viii) 15% of 610 or 10% of 830

(ix) 16% of 420 or 18% of 450

(x) 22% of 850 or 25% of 900

10. How many
liters is 20 % of 15.125 liters?

11. In a public
show 75 % of seats were filled.  If there
were 600 seats in the hall, how many seats were vacant?

12. A man earns
$3580 per month and spends 65 % of it. How much money does he save every month?

13. To clear his
stock a shopkeeper offers a discount of 15 %. Find the discount on goods worth
$500?

14. An alloy of
copper and zinc contains 45 % of copper and the rest is zinc. Find the weight
of the zinc in 2 kg of the alloy?

15. In an exam,
85 % of the children pass. Find the number of children who passed, if there
were 1700 children.

16. Sam bought an electric iron at a price 25% less than the
original price. If the original price of the iron is $2560, at what price did
Sam buy the electric iron?

17. Ron wants to buy a television. The shopkeeper agreed to
give Ron Television at a price less than the original price. So Ron Just had to
pay $45000 for the television with original price of $50000. What was the
percentage of discount given to Ron?

Answers for the worksheet on percentage of a number are given below to check the exact answers of the above questions.

Answers:

1. (i) 30.8

(ii) $ 187.50

(iii) 825 kg

(iv) 2 l

(v) 32 m

(vi) 1200

(vii) 43.2 m             

(viii) 4/25 l          

(ix) 2 g

(x) $  5.85

(xi) 74.4               

(xii) 15.625 mg

(xiii) $ 162.50     

(xiv) 4 .35 cm

(xv) 3 km

2. (i) 1.5 m

(ii) $96

(iii) 7 km

(iv) 11.25 g

(v) $60

(vi) 12 kg

(vii) 20 l

(viii) 12 cm

(ix) 80 g

(x) $87.50

3. $ 70

4. $ 500.50

5. 160 kg

6. (i) <

(ii) <

(iii) >

(iv) <

7. (i) 14

(ii) 7.5

(iii) 160

(iv) 120

(v) 3

(vi) 780

(vii) 75

(viii) 50

(ix) 7.5

(x) 2

(xi) 304.2

(xii) 89.59

(xiii) 17.5

(xiv) 10.83

(xv) 36.75

(xvi) 100.8

(xvii) 26.01

(xviii) 28.8

(xix) 8.1

(xx) 60

(xxi) 83.25

(xxii) 188.5

(xxiii) 852.6

(xxiv) 320.25

8. (i) 3 kg

(ii) 30 l

(iii) Rs. 647.50

(iv) 560 km

(v) Rs. 506.25

(vi) 300 m

(vii) 31.50 cm

(viii) Rs. 329.80

(ix) 72 km

(x) 892.80 l

(xi) 529.20 m

(xii) Rs. 28.16

9. (i) 14% of 440

(ii) 15% of 300 

(iii) 12% of 500 

(iv) 19% of 770

(v) 30% of 300

(vi) 30% of 940

(vii) 20% of 920

(viii) 15% of 610

(ix) 18% of 450

(x) 25% of 900

10. 3.025 liters

11. 150 seats

12. $ 1253

13. $ 75

14. 1.1 kg             

15. 1445

16. $1920

17.10%

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