Grade 7 Percentage. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit

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1 ID : ww-7-percentage [1] Grade 7 Percentage For more such worksheets visit Answer t he quest ions (1) 50% of 20% of 1200 =? (2) What percentage of f ollowing letters can not be drawn using straight lines? H M N T X Z B C O P S (3) Convert the f ollowing percent into ratios (simplest f orm): A) 17 % B) 11.5 % C) 4.6 % D) 19 % E) 63 % F) 3 % (4) Convert the f ollowing decimals into percent: A) 0.29 B) C) 1.74 D) E) 0.13 F) (5) A total of 0 apples were brought to the school picnic. The children ate 700 of the apples. What was the percentage of apples lef t? (6) Convert the f ollowing f raction into percentage f raction f orm : A) 1 B) 149 C) D) 569 E) 32 F) Choose correct answer(s) f rom given choice (7) The chart shows production of dif f erent apparel in a garment f actory. If production of trousers was pieces, f ind the production of suits. a. 170 pieces b pieces c pieces d pieces

2 () Solve the f ollowing: ID : ww-7-percentage [2] 5 % of 34 is: a. 1.7 b. 0.3 c d (9) Find the number whose 16 % is 0.32 a. 60 b. 64 c. 6 d. 66 (10) When is added to 50 % of a number, it gives the number itself. The number is a b. 54 c. 50 d. none of these Fill in the blanks (11) Convert the f ollowing percent into f ractions in the simplest f orms: A) B) C) 11 % = 30 % = 2 % = D) E) F) 32 % = 5 % = % = (12) Patricia has $2600 with her and spends 15 % of it on groceries. Af ter shopping, Patricia has $ lef t. (13) 3.6 is percent of 90. (14) $3 + (% of $3) + (3% of $) = $ Check True/False (15) 26% of 67% of 1 = 67% of 26% of 1 True False

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4 Answers ID : ww-7-percentage [4] (1) 120 Lets re-write this question as f ollowing, 50% of 20% of 1200 =50% of (20% of 1200) Now lets f irst f ind value of (20% of 1200), (20% of 1200) = / = 240 Now we can f ind value of 50% of (20% of 1200) as f ollowing, = 50% of (20% of 1200) = 50% of 240 = / = 120 (2) H M N T X Z B C O P S If you look at the given letters caref ully, you will notice that the letters that can not be drawn using straight line are B C O P S. Since the number of letters that can not be drawn using straight line = 5, total number of letters = 11 Now the percentage of the letters that can not be drawn using straight lines = Letters that can not be drawn using straight lines Total number of letters = 5 11 = %.

5 (3) A) 17: ID : ww-7-percentage [5] To convert 17 % into ratio, f irst of all convert 17 % into f raction by dividing it by and removing percentage symbol(%). Theref ore 17 % can be written as: % = Now write the given f raction as a ratio: 17 = 17: Theref ore the ratio of 17 % is 17:. B) 23:200 To convert 11.5 % into ratio, f irst of all convert 11.5 % into f raction by dividing it by and removing percentage symbol(%). Theref ore 11.5 % can be written as: 11.5 % = 11.5 Now write the given f raction as a ratio: 23 = 23: Theref ore the ratio of 11.5 % is 23:200.

6 C) 23:500 ID : ww-7-percentage [6] To convert 4.6 % into ratio, f irst of all convert 4.6 % into f raction by dividing it by and removing percentage symbol(%). Theref ore 4.6 % can be written as: 4.6 % = 4.6 and reduce the given f raction in the simplest f orm like as: 4.6 = Now write the given f raction as a ratio: = 23:500 Theref ore the ratio of 4.6 % is 23:500. D) 19: To convert 19 % into ratio, f irst of all convert 19 % into f raction by dividing it by and removing percentage symbol(%). Theref ore 19 % can be written as: % = Now write the given f raction as a ratio: 19 = 19: Theref ore the ratio of 19 % is 19:.

7 E) 63: ID : ww-7-percentage [7] To convert 63 % into ratio, f irst of all convert 63 % into f raction by dividing it by and removing percentage symbol(%). Theref ore 63 % can be written as: % = Now write the given f raction as a ratio: 63 = 63: Theref ore the ratio of 63 % is 63:. F) 3: To convert 3 % into ratio, f irst of all convert 3 % into f raction by dividing it by and removing percentage symbol(%). Theref ore 3 % can be written as: 3 3 % = Now write the given f raction as a ratio: 3 = 3: Theref ore the ratio of 3 % is 3:. (4) A) 2.9% To convert any decimal into f raction, we have to multiply it with. Decimal 0.29 can be converted into percent as: 0.29 = 0.29 % = 2.9% Now the percent of decimal 0.29 is 2.9%.

8 B) 0.61% ID : ww-7-percentage [] To convert any decimal into f raction, we have to multiply it with. Decimal can be converted into percent as: = % = 0.61% Now the percent of decimal is 0.61%. C) 174% To convert any decimal into f raction, we have to multiply it with. Decimal 1.74 can be converted into percent as: 1.74 = 1.74 % = 174% Now the percent of decimal 1.74 is 174%. D) 0.2% To convert any decimal into f raction, we have to multiply it with. Decimal can be converted into percent as: = % = 0.2% Now the percent of decimal is 0.2%.

9 E) 13% ID : ww-7-percentage [9] To convert any decimal into f raction, we have to multiply it with. Decimal 0.13 can be converted into percent as: 0.13 = 0.13 % = 13% Now the percent of decimal 0.13 is 13%. F) 15.3% To convert any decimal into f raction, we have to multiply it with. Decimal can be converted into percent as: = % = 15.3% Now the percent of decimal is 15.3%. (5) 30 % Total apples = 0 Number of apples ate by the children = 700 Number of apples lef t = = 300 We have been asked to f ind the percentage of lef t apples. 300 % of lef t apples = 0 = = 30 % Theref ore, 30 % apples lef t. (6) A) %

10 ID : ww-7-percentage [10] B) % C) 3 9 % D) % E) % F) % (7) a. 170 pieces If you look at the given chart caref ully, you will notice that the production of apparel trousers, suits, socks in a garment f actory is 50%, 37.5%, 12.5% respectively. Since production of trousers is pieces, which is 50% of a garment f actory. or we can say that the 50% production of a garment f actory = pieces 1% production of a garment f actory = % production of a garment f actory = = 170 pieces Since production of suits is 37.5% of a f orm and 37.5% production of a garment f actory is 170 pieces, theref ore the production of suits will be 170 pieces.

11 () a. 1.7 ID : ww-7-percentage [11] We have been asked to f ind the value of 5 % of % of 34 means = 34 5 % = 34 5 = 170 = 1.7 Theref ore, 5 % of 34 is 1.7. (9) b. 64 Lets assume x is the number whose 16 % is Now we can represents 16 % of x is 0.32 as: x 16 % = 0.32 x 16 = 0.32 x x = 0.32 x = 64 = Theref ore we can say that the number whose 16 % is 0.32, is 64.

12 (10) c. 50 ID : ww-7-percentage [12] Lets assume that the number is x, % of x = x = 50x If you look at the question caref ully, you will notice that the number(x) is equal to the sum of and 50 % of x, It can be written as: x = + 50x x = + 50x x x = By cross multiplying both sides x = x x - 50x = 00 50x = 00 x = x = 50 Theref ore the number is 50.

13 (11) A) 11 % = 11 ID : ww-7-percentage [13] To convert any percent into f raction, we have to divide it by. 11 % can be converted into f raction as: 11 % = 11 = 11 Now the f raction of 11 % in the simplest f orm is 11. B) 30 % = 3 10 To convert any percent into f raction, we have to divide it by. 30 % can be converted into f raction as: 30 % = 30 = 3 10 Now the f raction of 30 % in the simplest f orm is 3 10.

14 C) 2 % = 7 ID : ww-7-percentage [14] To convert any percent into f raction, we have to divide it by. 2 % can be converted into f raction as: 2 % = 2 = 7 Now the f raction of 2 % in the simplest f orm is 7. D) 32 % = To convert any percent into f raction, we have to divide it by. 32 % can be converted into f raction as: 32 % = 32 = Now the f raction of 32 % in the simplest f orm is.

15 E) 5 % = ID : ww-7-percentage [15] To convert any percent into f raction, we have to divide it by. 5 % can be converted into f raction as: 5 % = 5 = Now the f raction of 5 % in the simplest f orm is F) % = 2 To convert any percent into f raction, we have to divide it by. % can be converted into f raction as: % = = 2 Now the f raction of % in the simplest f orm is 2.

16 (12) 2210 ID : ww-7-percentage [16] Total money with Patricia = $2600 Percentage of money spent by Patricia on groceries = 15% Percentage of money lef t with Patricia = - 15 = 5% We have been asked to f ind the money lef t with Patricia. Money lef t with Patricia = 5% of 2600 = % = = 220 = 2210 Theref ore, the money lef t with Patricia is $2210. (13) (14) 4 9 (% of $3) = 3 / = $3 (3% of $) = 3/ = $3 Theref ore, $3 + (% of $3) + (3% of $) = $3 + $3 + $3 = $9

17 (15) True ID : ww-7-percentage [17] According to the question, we have been asked to verif y that 26% of 67% of 1 = 67% of 26% of 1 is true or f alse. We need to check if L.H.S. = R.H.S.> 26 [ 67 1] = 67 [ 26 1] 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 67% of 1 = 67% of 26% of 1 is true.