(1) The chart shows production of dif f erent f ruits in a f arm. If production of apple was 4875 Kg, f ind the production of grapes.

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ID : ww-6-percentage [1] Grade 6 Percentage For more such worksheets visit www.edugain.com Answer t he quest ions (1) The chart shows production of dif f erent f ruits in a f arm.

1 ID : ww-6-percentage [1] Grade 6 Percentage For more such worksheets visit Answer t he quest ions (1) The chart shows production of dif f erent f ruits in a f arm. If production of apple was 4875 Kg, f ind the production of grapes. (2) Mark's income is 30 less than Jennif er's income, Brian's income is 30 less than Mark's income, and Sandra's income is 20 less than Mark's income. If Jennif er gave 70 of his income to Brian and 30 of his income to Sandra. What would be the f raction of Brian's new income and Sandra's new income? (3) Convert the f raction representation of a percentage into the decimal f orm: A) 49 7 B) C) D) E) F) (4) When 9 is added to 90 of a number, it gives the number itself. f ind the number. (5) 3.2 is what percent of 8000? (6) Anthony donated 20 of his salary to charity and spent 20 of the remaining amount. He still has $4800 lef t. What was his total salary? Choose correct answer(s) f rom given choice (7) One ticket to a show costs $ 20. Nancy buys a total of 5 tickets f or the show using a coupon that gives her a 15 discount. Lisa buys 10 tickets using a coupon that gives a 20 discount. How much more did Lisa pay than Nancy? a. $ 75 b. $ 79 c. $ 72 d. $ 73 (8) (13 of 55) - (55 of 13) = a. -2 b. 0 c. 2 d. 1

2 (9) Solve the f ollowing: ID : ww-6-percentage [2] 20 of 977 is: a b c d (10) A bear is walking on periphery of a regular polygon as shown below. If it starts f rom point s, bear will be on which side af ter walking 92 distance of the periphery in clock-wise direction? a. D b. A c. E d. B Fill in the blanks (11) Convert the f ollowing ratios into percent: A) 21:50 = B) 132:400 = C) 7: = D) 31: = E) 1:10 = F) 3:10 = (12) Find the number whose: A) 0.42 is 42 of number? B) 3.84 is 32 of number? C) 1.12 is 16 of number? D) 1.11 is 37 of number? (13) Find: A) 1 of Rs. 692 = Rs. B) 4 of 553 hours = hours C) 50 of 507 seconds = seconds D) 30 of Rs. 459 = Rs. E) 50 of 195 meters = meters F) 0.2 of 757 seconds = seconds (14) Fill the number which satisf ies the condition :

3 A) 16 4 of = 4.16 B) of = 1.26 ID : ww-6-percentage [3] C) of = D) 6 9 of = 0.18 Check True/False (15) 26 of 47 of 1200 = 47 of 26 of 1200 True False 2016 Edugain ( All Rights Reserved Many more such worksheets can be generated at

4 Answers ID : ww-6-percentage [4] (1) Kg If you look at the given chart caref ully, you will notice that the production of f ruits guava, apple, grapes, peach in a f arm is 25, 12.5, 37.5, 25 respectively. Since production of apple is 4875 Kg, which is 12.5 of a f arm. or we can say that the 12.5 production of a f arm = 4875 Kg 1 production of a f arm = production of a f arm = = Kg Since production of grapes is 37.5 of a f orm and 37.5 production of a f arm is Kg, theref ore the production of grapes will be Kg.

5 ID : ww-6-percentage [5] (2) In the question, there are f our people: Mark, Brian, Sandra and Jennif er. Everyone's income is directly or indirectly told in terms of Jennif er's income. Let's write Mark's, Brian's and Sandra's income as a percentage of Jennif er's income f irst. Mark's income: Mark's income is 30 less than Mark's income. This means, Mark's income is ( - 30) = 70 of Jennifer's income Step 4 Brian's income: Brian's income is 30 less than Mark's income. This means, Brian's income is ( - 30) = 70 of Mark's income = 70 of 70 of Jennif er's income...[mark's income is 70 of Jennifer's income] = of Jennif er's income = (70 70)/ of Jennif er's income...[when we multiply two percentages, we need to divide by to get final percentage] = 4900/ of Jennif er's income = 49 of Jennif er's income Step 5 Sandra's income: Sandra's income is 20 less than Mark's income. This means, Sandra's income is ( - 20) = 80 of Mark's income = 80 of 70 of Jennif er's income = of Jennif er's income = (80 70)/ of Jennif er's income = 56 of Jennif er's income Step 6 We have just f ound that: Brian's income = 49 of Jennifer's income Sandra's income = 56 of Jennifer's income Jennif er gives 70 of his income to Brian and 30 of his income to Sandra. Their new incomes will be: Brian's new income = ( ) = 119 of Jennifer's income Sandra's new income = ( ) = 86 of Jennifer's income Step 7 Fraction of Brian's new income to Sandra's new income = (119 of Jennif er's income)/(86 of Jennif er's income)

6 = ID : ww-6-percentage [6] (3) A) First of all we have to change the mixed f raction representation of the percentage into the f raction representation of the percentage, by multiplying the denominator 10 to the whole number 49 and add the result to the numerator 7, as below: 49 7 = Now, convert the f raction represent of the percentage f raction, dividing by : into the simple = = 0 = Hence, the f raction representation of the percentage into the decimal f orm is

7 B) ID : ww-6-percentage [7] First of all we have to change the mixed f raction representation of the percentage into the f raction representation of the percentage, by 20 multiplying the denominator 20 to the whole number 48 and add the result to the numerator 13, as below: = Now, convert the f raction represent of the percentage f raction, dividing by : into the simple = = 2000 = Hence, the f raction representation of the percentage into the decimal f orm is

8 C) ID : ww-6-percentage [8] First of all we have to change the mixed f raction representation of the 4 percentage 79 into the f raction representation of the percentage, by 5 multiplying the denominator 5 to the whole number 79 and add the result to the numerator 4, as below: 79 4 = Now, convert the f raction represent of the percentage f raction, dividing by : into the simple = = = Hence, the f raction representation of the percentage into the decimal f orm is

9 D) ID : ww-6-percentage [9] First of all we have to change the mixed f raction representation of the 13 percentage into the f raction representation of the percentage, by multiplying the denominator 20 to the whole number 90 and add the result to the numerator 13, as below: = Now, convert the f raction represent of the percentage f raction, dividing by : into the simple = = = Hence, the f raction representation of the percentage into the decimal f orm is

10 E) ID : ww-6-percentage [10] First of all we have to change the mixed f raction representation of the 2 percentage 38 into the f raction representation of the percentage, by 5 multiplying the denominator 5 to the whole number 38 and add the result to the numerator 2, as below: 38 2 = Now, convert the f raction represent of the percentage f raction, dividing by : into the simple = = = Hence, the f raction representation of the percentage into the decimal f orm is

11 F) ID : ww-6-percentage [11] First of all we have to change the mixed f raction representation of the 1 percentage 4 into the f raction representation of the percentage, by 2 multiplying the denominator 2 to the whole number 4 and add the result to the numerator 1, as below: = 9 2 Now, convert the f raction represent of the percentage 9 2 into the simple f raction, dividing by : = = 200 = Hence, the f raction representation of the percentage into the decimal f orm is

12 (4) 90 ID : ww-6-percentage [12] Lets assume that the number is x, of x = x = 90x If you look at the question caref ully, you will notice that the number(x) is equal to the sum of 9 and 90 of x, It can be written as: x = x x = x x x = By cross multiplying both sides x = x x - 90x = x = 900 x = x = 90 Theref ore the number is 90. (5) 0.04

13 (6) $7500 ID : ww-6-percentage [13] Let's assume the total salary of the man be x Af ter donating 20, percentage amount lef t with him = - 20 = 80. Theref ore amount remaining af ter donation = (80x / ) Similarly percentage amount remaing with him af ter spending 20 = - 20 = 80 Theref ore amount remaining af ter spending = (80 (80x / ) / ), = (80)(80)x 00 Step 4 Since remaining amount is given in question to be $4800, (80)(80)x 00 = 4800 x = (4800)(00) x = 7500 Step 5 (80)(80) Theref ore, his total salary was $7500.

14 (7) a. $ 75 ID : ww-6-percentage [14] Nancy buys 5 tickets f or the show using a coupon that gives her a 15 discount. The price of 5 tickets = 5 20 = $ The amount paid by Nancy f or 5 tickets = The price of 5 tickets - 15 discount = - = = - 15 = $85 15 Lisa buys 10 tickets f or the show using a coupon that gives her a 20 discount. The price of 10 tickets = = $200 The amount paid by Lisa f or 10 tickets = The price of 10 tickets - 20 discount = = = = $ Theref ore the amount that Lisa pays more than Nancy, = = $75 (8) b. 0 (13 of 55) = 55 13/ (13 of 55) = (13 55)/ (55 of 13) = 13 55/ (55 of 13) = (13 55)/ Now we can f ind value of required expression, (13 of 55) - (55 of 13) = (13 55)/ - (13 55)/, = 0

15 (9) c ID : ww-6-percentage [15] We have been asked to f ind the value of 20 of of 977 means = = = = Theref ore, 20 of 977 is

16 (10) c. E ID : ww-6-percentage [16] If you look at the regular polygon caref ully, you will notice that the number of sides of a regular polygon are 5. Theref ore the length of a side of the regular polygon = 1 5 Since distance walked by a bear on the periphery in clock-wise direction = 92 = Theref ore the number of sides walked by a bear on the regular polygon = Distance walked by a bear 92 Length of a side of the polygon 92 = 1 = = 460 = 4.6 It means bear walked on 4 sides of the regular polygon and a bear is walking on the 5 th side of the regular polygon in clock-wise direction. Since it starts f rom point s, bear will be on the side E af ter walking 92 distance of the periphery in clock-wise direction.

17 (11) A) 42 ID : ww-6-percentage [17] To convert ratio 21:50 into percent, f irst of all convert ratio 21:50 into f raction and multiplying it by and adding percentage symbol(). Theref ore ratio 21:50 can be written as: 21:50 = = 2 50 = 42 Theref ore the percent of ratio 21:50 is 42. B) 33 To convert ratio 132:400 into percent, f irst of all convert ratio 132:400 into f raction and multiplying it by and adding percentage symbol(). Theref ore ratio 132:400 can be written as: 132:400 = = = 33 Theref ore the percent of ratio 132:400 is 33.

18 C) 7 ID : ww-6-percentage [18] To convert ratio 7: into percent, f irst of all convert ratio 7: into f raction and multiplying it by and adding percentage symbol(). Theref ore ratio 7: can be written as: 7: = 7 = 700 = 7 Theref ore the percent of ratio 7: is 7. D) 31 To convert ratio 31: into percent, f irst of all convert ratio 31: into f raction and multiplying it by and adding percentage symbol(). Theref ore ratio 31: can be written as: 31: = 31 = 3 = 31 Theref ore the percent of ratio 31: is 31.

19 E) 10 ID : ww-6-percentage [19] To convert ratio 1:10 into percent, f irst of all convert ratio 1:10 into f raction and multiplying it by and adding percentage symbol(). Theref ore ratio 1:10 can be written as: 1:10 = 1 10 = 10 = 10 Theref ore the percent of ratio 1:10 is 10. F) 30 To convert ratio 3:10 into percent, f irst of all convert ratio 3:10 into f raction and multiplying it by and adding percentage symbol(). Theref ore ratio 3:10 can be written as: 3:10 = 3 10 = = 30 Theref ore the percent of ratio 3:10 is 30.

20 (12) A) 1 ID : ww-6-percentage [20] Lets assume 0.42 is 42 of x. Now we can represents 0.42 is 42 of x as: x 42 = x = 0.42 x = x = x = 1 Theref ore we can say that 0.42 is 42 of 1. B) 12 Lets assume 3.84 is 32 of x. Now we can represents 3.84 is 32 of x as: x 32 = x = 3.84 x = x = x = 12 Theref ore we can say that 3.84 is 32 of 12.

21 C) 7 ID : ww-6-percentage [21] Lets assume 1.12 is 16 of x. Now we can represents 1.12 is 16 of x as: x 16 = x = 1.12 x = x = x = 7 Theref ore we can say that 1.12 is 16 of 7. D) 3 Lets assume 1.11 is 37 of x. Now we can represents 1.11 is 37 of x as: x 37 = x = 1.11 x = x = x = 3 Theref ore we can say that 1.11 is 37 of 3.

22 (13) A) 6.92 ID : ww-6-percentage [22] If you read the question caref ully, you will notice that you have to f ind out the 1 of Rs We can write 1 of Rs. 692 as: 1 of Rs. 692 = = 692 = 692 = 6.92 Rs. Now 1 of Rs. 692 is 6.92 Rs.. B) If you read the question caref ully, you will notice that you have to f ind out the 4 of 553 hours. We can write 4 of 553 hours as: 4 of 553 hours = = 553 = = hours Now 4 of 553 hours is hours.

23 C) ID : ww-6-percentage [23] If you read the question caref ully, you will notice that you have to f ind out the 50 of 507 seconds. We can write 50 of 507 seconds as: 50 of 507 seconds = = 507 = = seconds Now 50 of 507 seconds is seconds. D) If you read the question caref ully, you will notice that you have to f ind out the 30 of Rs We can write 30 of Rs. 459 as: 30 of Rs. 459 = = 459 = = Rs. Now 30 of Rs. 459 is Rs..

24 E) 97.5 ID : ww-6-percentage [24] If you read the question caref ully, you will notice that you have to f ind out the 50 of 195 meters. We can write 50 of 195 meters as: 50 of 195 meters = = 195 = = 97.5 meters Now 50 of 195 meters is 97.5 meters. F) If you read the question caref ully, you will notice that you have to f ind out the 0.2 of 757 seconds. We can write 0.2 of 757 seconds as: 0.2 of 757 seconds = = 757 = = seconds Now 0.2 of 757 seconds is seconds.

25 (14) A) 104 ID : ww-6-percentage [25] Lets assume x is the number whose 16 4 is Now we can represents 16 4 of x is 4.16 as: x 16 4 = 4.16 x 16 4 = 4.16 x x = 4.16 x = 104 = Theref ore we can say that the number whose 16 4 is 4.16, is 104.

26 B) 504 ID : ww-6-percentage [26] Lets assume x is the number whose is Now we can represents of x is 1.26 as: x = 1.26 x x = 1.26 = 1.26 x = 1.26 x = Theref ore we can say that the number whose is 1.26, is 504.

27 C) 1488 ID : ww-6-percentage [27] Lets assume x is the number whose is Now we can represents of x is as: x = x = x x = x = 1488 = Theref ore we can say that the number whose is 16.74, is 1488.

28 D) 27 ID : ww-6-percentage [28] Lets assume x is the number whose 6 9 is Now we can represents 6 9 of x is 0.18 as: x 6 9 = 0.18 x 6 9 = 0.18 x x = 0.18 x = 27 = Theref ore we can say that the number whose 6 9 is 0.18, is 27. (15) True According to the question, we have been asked to verif y that 26 of 47 of 1200 = 47 of 26 of 1200 is true or f alse. We need to check if L.H.S. = R.H.S.> 26 [ ] = 47 [ ] Since, all the terms are being multiplied and are same on both the sides, any order of multiplication will give the same result i.e L.H.S. = R.H.S. = Theref ore, 26 of 47 of 1200 = 47 of 26 of 1200 is true.

(2) The chart shows production of dif f erent f ruits in a f arm. If production of guava was 9375 Kg, f ind the total production.

(2) The chart shows production of dif f erent f ruits in a f arm. If production of guava was 9375 Kg, f ind the total production. ID : ph-7-percentage [1] Grade 7 Percentage For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find: A) 0.4 of Rs. 879 B) 5 of 457 Kg. C) 9 of 351 Km. D) 6 of 929 seconds E) 60 of