percentage class 6 - edugain5) a) 0.00018 step 1 to convert any percent into decimal, we have to...

Class 6Percentage

For more such worksheets visit www.edugain.com

Answer the questions

(1) Find the number whose:

A) 12

12 % is 4.92

B)

8

28 % is 1.2

C) 24

32 % is 6.48

D) 28

20 % is 10.92

(2) (17% of 60) - (60% of 17) = ?

(3) 35% of 40% of 600 = ?

(4) One ticket to a show costs Rs.40. Vandita buys a total of 5 t ickets f or the show using a couponthat gives her a 15% discount. Gauri buys 7 tickets using a coupon that gives a 20% discount.How much more did Gauri pay than Vandita?

(5) Convert the f ollowing percent into decimal:

A) 0.018 % B) 2.93 % C) 2.66 %

D) 0.295 % E) 108 % F) 25.4 %

(6) 3.2 is what percent of 8000?

(7) Convert the f ollowing to decimal

A) 67% B) 65% C) 48%

D) 17.5% E) 16.3% F) 72%

Choose correct answer(s) from given choice

(8) An electrician bought an old TV f or Rs.1180. He then spent Rs.90 f or f ixing it, and then sold itf or Rs.1409.70. What is the percentage of his gain?

a. 9% b. 12%

c. 11% d. 13%

ID : in-6-Percentage [1]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

http://www.edugain.com

(9) A rabbit is walking on periphery of a regular polygon as shown below.

If it starts f rom point s, rabbit will be on which side af ter walking 36% distance of the peripheryin clock-wise direction?

a. A b. D

c. B d. C

(10) The chart shows production of dif f erent vegetables in a f arm. If production of Carrot was 3750Kg, f ind the production of onion.

a. 15600 Kg b. 15000 Kg

c. 15300 Kg d. 14400 Kg

(11) Solve the f ollowing:

30 % of 45 is:

a. 11.42 b. 8.47

c. 23.91 d. 13.5

Fill in the blanks

(12) Convert the f ollowing decimals into percent:

A)2.39= %

B)0.00297= %

C)0.0128= %

D)0.00049= %

E)0.0067= %

F)0.00038= %

(13) Convert the f ollowing percent into f ractions in the simplest f orms:

A)

45 % =

B)

42 % =

C)

20 % =



D)

56 % =

E)

36 % =

F)

56 % =

(14) What percent of :

A) 11 Km. is 5720 meters =

%

B) 10 years is 1569.5 days

= %

C)3 Kl. is 2550 litres =

%

D) Rs. 25 is 975 paisa =

%

E) Rs. 15 is 765 paisa =

%

F) 82 years is 19454.5 days

= %

(15) Find the number whose:

A) 50% less than Rs.110 =

Rs.

B) 90% less than Rs.180 =

Rs.

C) 80% more than Rs.100 =

Rs.

D) 40% less than Rs.230 =

Rs.

E) 40% more than Rs.240 =

Rs.

F) 50% less than Rs.200 =

Rs.

© 2016 Edugain (www.edugain.com). All Rights Reserved

Many more such worksheets can begenerated at www.edugain.com



http://www.edugain.com

Answers

(1) A) 492

Step 1

Lets assume x is the number whose 12

12 % is 4.92.

Step 2

Now we can represents 12

12 % of x is 4.92 as:

x × 12

12 % = 4.92

⇒ x × 12

12 × 100 = 4.92

⇒ x × 1200

12 = 4.92

⇒ x = 4.92 × 12

1200

⇒ x = 492

Step 3

Theref ore we can say that the number whose 12

12 % is 4.92, is 492.



B) 420

Step 1


28 % is 1.2.

Step 2


28 % of x is 1.2 as:

x × 8

28 % = 1.2

⇒ x × 8

28 × 100 = 1.2

⇒ x × 800

28 = 1.2

⇒ x = 1.2 × 28

800

⇒ x = 420

Step 3


28 % is 1.2, is 420.



C) 864

Step 1


32 % is 6.48.

Step 2


32 % of x is 6.48 as:

x × 24

32 % = 6.48

⇒ x × 24

32 × 100 = 6.48

⇒ x × 2400

32 = 6.48

⇒ x = 6.48 × 32

2400

⇒ x = 864

Step 3


32 % is 6.48, is 864.



D) 780

Step 1


20 % is 10.92.

Step 2


20 % of x is 10.92 as:

x × 28

20 % = 10.92

⇒ x × 28

20 × 100 = 10.92

⇒ x × 2800

20 = 10.92

⇒ x = 10.92 × 20

2800

⇒ x = 780

Step 3


20 % is 10.92, is 780.

(2) 0

Step 1

(17% of 60) = 60 × 17/100⇒ (17% of 60) = (17 × 60)/100

Step 2

(60% of 17) = 17 × 60/100⇒ (60% of 17) = (17 × 60)/100

Step 3

Now we can f ind value of required expression,(17% of 60) - (60% of 17)= (17 × 60)/100 - (17 × 60)/100,= 0



(3) 84

Step 1

Lets re-write this question as f ollowing,35% of 40% of 600 =35% of (40% of 600)

Step 2

Now lets f irst f ind value of (40% of 600),(40% of 600) = 600 × 40/100⇒ = 240

Step 3

Now we can f ind value of 35% of (40% of 600) as f ollowing,⇒ = 35% of (40% of 600)⇒ = 35% of 240⇒ = 240 × 35/100⇒ = 84

(4) Rs. 54

Step 1

Vandita buys 5 tickets f or the show using a coupon that gives her a 15% discount.The price of 5 t ickets = 5 × 40 = Rs.200The amount paid by Vandita f or 5 t ickets = The price of 5 t ickets - 15% discount

= 200 - 200 × 15

100

= 200 - 3000

100

= 200 - 30= Rs.170

Step 2

Gauri buys 7 tickets f or the show using a coupon that gives her a 20% discount.The price of 7 t ickets = 7 × 40 = Rs.280The amount paid by Gauri f or 7 t ickets = The price of 7 t ickets - 20% discount

= 280 - 280 × 20

100

= 280 - 5600

100

= 280 - 56= Rs.224

Step 3

Theref ore the amount that Gauri pays more than Vandita,= 224 - 170= Rs.54



(5) A) 0.00018

Step 1

To convert any percent into decimal, we have to divide it by 100.

Step 2

0.018 % can be converted into decimal as:

0.018 % = 0.018

100 = 0.00018.

Step 3

Now the decimal of 0.018 % is 0.00018.

B) 0.0293

Step 1


Step 2


2.93 % = 2.93

100 = 0.0293.

Step 3


C) 0.0266

Step 1


Step 2


2.66 % = 2.66

100 = 0.0266.

Step 3




D) 0.00295

Step 1


Step 2


0.295 % = 0.295

100 = 0.00295.

Step 3


E) 1.08

Step 1


Step 2

108 % can be converted into decimal as:

108 % = 108

100 = 1.08.

Step 3

Now the decimal of 108 % is 1.08.

F) 0.254

Step 1


Step 2


25.4 % = 25.4

100 = 0.254.

Step 3


(6) 0.04%



(7) A) 0.67

Step 1

We have been asked to convert 67% to the decimal.

Step 2

Now,

67 % = 67

100

= 0.67

Step 3

Theref ore, the decimal value of 67% is 0.67.

B) 0.65

Step 1


Step 2

Now,

65 % = 65

100

= 0.65

Step 3


C) 0.48

Step 1


Step 2

Now,

48 % = 48

100

= 0.48

Step 3




D) 0.175

Step 1

We have been asked to convert 17.5% to the decimal.

Step 2

Now,

17.5 % = 17.5

100

= 0.175

Step 3

Theref ore, the decimal value of 17.5% is 0.175.

E) 0.163

Step 1

We have been asked to convert 16.3% to the decimal.

Step 2

Now,

16.3 % = 16.3

100

= 0.163

Step 3

Theref ore, the decimal value of 16.3% is 0.163.

F) 0.72

Step 1


Step 2

Now,

72 % = 72

100

= 0.72

Step 3




(8) c. 11%

Step 1

Since electrician bought TV f or Rs.1180 and spent Rs.90 f or f ixing it,theref ore the total cost incurred = 1180 + 90 = Rs.1270

Step 2

Since he sold it f or Rs.1409.70, theref ore the selling price of TV = Rs.1409.70

Step 3

Now gain = selling price of TV - total cost of TV= 1409.70 - 1270= Rs.139.7

Step 4

Now gain percentage = gain × 100

total cost of TV

= 139.7 × 100

1270

= 13970

1270

= 11%

Step 5

Theref ore the percentage of his gain = 11%



(9) c. B

Step 1

If you look at the regular polygon caref ully, you will notice that the number of sides of aregular polygon are 5.

Theref ore the length of a side of the regular polygon = 1

5

Step 2

Since distance walked by a rabbit on the periphery in clock-wise direction = 36% = 36

100

Theref ore the number of sides walked by a rabbit on the regular polygon =

Distance walked by a rabbit

Length of a side of the polygon

=

36

100

1

5

= 36

100 ×

5

1

= 180

100

= 1.8

It means rabbit walked on 1 side of the regular polygon and a rabbit is walking on the 2nd

side of the regular polygon in clock-wise direction.

Step 3

Since it starts f rom point s, rabbit will be on the side B af ter walking 36 distance of theperiphery in clock-wise direction.



(10) b. 15000 Kg

Step 1

If you look at the given chart caref ully, you will notice that the production of vegetablesPotato, Carrot, onion in a f arm is 37.5%, 12.5%, 50% respectively.

Step 2

Since production of Carrot is 3750 Kg, which is 12.5% of a f arm.or we can say that the 12.5% production of a f arm = 3750 Kg

⇒ 1% production of a f arm = 3750

12.5

⇒ 50% production of a f arm = 3750

12.5 × 50 = 15000 Kg

Step 3

Since production of onion is 50% of a f orm and 50% production of a f arm is 15000 Kg,theref ore the production of onion will be 15000 Kg.

(11) d. 13.5

Step 1

We have been asked to f ind the value of 30 % of 45.

Step 2

30 % of 45 means = 45 × 30 %

= 45 × 30

100

= 1350

100

= 13.5

Step 3

Theref ore, 30 % of 45 is 13.5.



(12) A) 239

Step 1

To convert any decimal into f raction, we have to multiply it with 100.

Step 2

Decimal 2.39 can be converted into percent as:2.39 = 2.39 × 100 %= 239%

Step 3

Now the percent of decimal 2.39 is 239%.

B) 0.297

Step 1


Step 2

Decimal 0.00297 can be converted into percent as:0.00297 = 0.00297 × 100 %= 0.297%

Step 3

Now the percent of decimal 0.00297 is 0.297%.

C) 1.28

Step 1


Step 2


Step 3




D) 0.049

Step 1


Step 2


Step 3


E) 0.67

Step 1


Step 2


Step 3


F) 0.038

Step 1


Step 2


Step 3




(13) A)

45 % = 9

20

Step 1

To convert any percent into f raction, we have to divide it by 100.

Step 2

45 % can be converted into f raction as:

45 % = 45

100 =

9

20

Step 3

Now the f raction of 45 % in the simplest f orm is 9

20 .

B)

42 % = 21

50

Step 1


Step 2


42 % = 42

100 =

21

50

Step 3


50 .



C)

20 % = 1

5

Step 1


Step 2


20 % = 20

100 =

1

5

Step 3


5 .

D)

56 % = 14

25

Step 1


Step 2


56 % = 56

100 =

14

25

Step 3


25 .



E)

36 % = 9

25

Step 1


Step 2


36 % = 36

100 =

9

25

Step 3


25 .

F)

56 % = 14

25

Step 1


Step 2


56 % = 56

100 =

14

25

Step 3


25 .



(14) A) 52

Step 1

Lets assume x percent of 11 Km. is 5720 meters.

Step 2

Since we know that 1 Km. = 1000 meters,theref ore 11 Km. = 11 × 1000 meters= 11000 meters

Step 3

Now we can represent x percent of 11000 meters is 5720 meters as:11000 × x = 5720

⇒ x = 5720

11000

⇒ x = 0.52Converting x into percentx = 0.52 × 100 %⇒ x = 52 %

Step 4

Theref ore we can say that 52 % of 11 Km. is 5720 meters.

B) 43

Step 1

Lets assume x percent of 10 years is 1569.5 days.

Step 2

Since we know that 1 year = 365 days,theref ore 10 years = 10 × 365 days= 3650 days

Step 3

Now we can represent x percent of 3650 days is 1569.5 days as:3650 × x = 1569.5

⇒ x = 1569.5

3650


Step 4

Theref ore we can say that 43 % of 10 years is 1569.5 days.



C) 85

Step 1

Lets assume x percent of 3 Kl. is 2550 litres.

Step 2

Since we know that 1 Kl. = 1000 litres,theref ore 3 Kl. = 3 × 1000 litres= 3000 litres

Step 3

Now we can represent x percent of 3000 litres is 2550 litres as:3000 × x = 2550

⇒ x = 2550

3000


Step 4

Theref ore we can say that 85 % of 3 Kl. is 2550 litres.

D) 39

Step 1

Lets assume x percent of Rs. 25 is 975 paisa.

Step 2

Since we know that 1 Rs. = 100 paisa,theref ore Rs. 25 = 25 × 100 paisa= 2500 paisa

Step 3

Now we can represent x percent of 2500 paisa is 975 paisa as:2500 × x = 975

⇒ x = 975

2500


Step 4

Theref ore we can say that 39 % of Rs. 25 is 975 paisa.



E) 51

Step 1

Lets assume x percent of Rs. 15 is 765 paisa.

Step 2

Since we know that 1 Rs. = 100 paisa,theref ore Rs. 15 = 15 × 100 paisa= 1500 paisa

Step 3

Now we can represent x percent of 1500 paisa is 765 paisa as:1500 × x = 765

⇒ x = 765

1500


Step 4

Theref ore we can say that 51 % of Rs. 15 is 765 paisa.

F) 65

Step 1

Lets assume x percent of 82 years is 19454.5 days.

Step 2

Since we know that 1 year = 365 days,theref ore 82 years = 82 × 365 days= 29930 days

Step 3

Now we can represent x percent of 29930 days is 19454.5 days as:29930 × x = 19454.5

⇒ x = 19454.5

29930


Step 4

Theref ore we can say that 65 % of 82 years is 19454.5 days.



(15) A) 55

Step 1

Lets assume x is 50% less than Rs.110.

Step 2

Now x = 110 - 50% of 110= 110 - 110 × 50%

= 110 - 110 × 50

100

= 110 - 55= 55

Step 3

Theref ore we can say that 50% less than Rs.110 is 55.

B) 18

Step 1


Step 2

Now x = 180 - 90% of 180= 180 - 180 × 90%

= 180 - 180 × 90

100

= 180 - 162= 18

Step 3




C) 180

Step 1

Lets assume x is 80% more than Rs.100.

Step 2

Now x = 100 + 80% of 100= 100 + 100 × 80%

= 100 + 100 × 80

100

= 100 + 80= 180

Step 3

Theref ore we can say that 80% more than Rs.100 is 180.

D) 138

Step 1


Step 2

Now x = 230 - 40% of 230= 230 - 230 × 40%

= 230 - 230 × 40

100

= 230 - 92= 138

Step 3




E) 336

Step 1

Lets assume x is 40% more than Rs.240.

Step 2

Now x = 240 + 40% of 240= 240 + 240 × 40%

= 240 + 240 × 40

100

= 240 + 96= 336

Step 3

Theref ore we can say that 40% more than Rs.240 is 336.

F) 100

Step 1


Step 2

Now x = 200 - 50% of 200= 200 - 200 × 50%

= 200 - 200 × 50

100

= 200 - 100= 100

Step 3




percentage class 6 - edugain5) a) 0.00018 step 1 to convert any percent into decimal, we have to...

Documents