Class 6 Percentage. Answer the questions. For more such worksheets visit

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1 ID : in-6-percentage [1] Class 6 Percentage For more such worksheets visit Answer the questions (1) 20% of 40% of 1400 =? (2) An electrician bought an old TV for Rs. 830 and spent Rs. 50 for fixing it. Finally, he sold it for Rs Find the gain percentage. (3) Convert the following percents into ratios (simplest form): A) 2.9% B) 80% C) 88% D) 27% E) 86% F) 71% (4) Convert the following percents into fractions (in the simplest form) : A) 48% B) 14% C) 36% D) 24% (5) (18% of 50) (50% of 18) =? (6) Find the number whose: A) % is 18.9 B) % is 8.96 C) 16 % is 4.96 D) 7 4 % is 1.61 (7) Convert the following decimals into percent: A) B) C) D) 1.31 E) F) 0.28 (8) Gita's income is 50% less than Aamir's income, Meenakshi's income is 30% less than Gita's income, and Kareem's income is 40% less than Gita's income. Aamir gave 40% of his income to Meenakshi and 60% of his income to Kareem. What would be the fraction of Meenakshi's new income and Kareem's new income? (9) Convert the following fractions into percent: (Write the answers upto 3 decimal places) A) B) 9 3 C) D) 24 E) F) 54 6 (10) (8% of Rs. ) + (% of Rs. 8) + Rs. 8 =?

2 (11) The chart shows the production of different fruits in a farm. If the production of guavas was 110 kg, find the production of grapes. ID : in-6-percentage [2] (12) When 21 is added to 70 % of a number, it gives the number itself. Find the number. Choose correct answer(s) from the given choices (13) 17% of 0.53 is same as : a. 170% of 5.3 b. 1.7% of c. 1.7% of 5.3 d. None of these (14) A cat is walking on the periphery of a regular polygon as shown below. If it starts from point s, which side will it reach after covering 40% distance of the periphery in the clockwise direction? a. B b. C c. E d. D Check True/False (15) 39% of 65% of 400 = 65% of 39% of 400 True False 2017 Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : in-6-percentage [3] (1) 112 Let us rewrite this question as follows, 20% of 40% of 1400 = 20% of (40% of 1400) Now, let us first find value of (40% of 1400), (40% of 1400) = 1400 = Now we can find value of 20% of (40% of 1400) as follows, = 20% of (40% of 1400) = 20% of = 560 = 112

4 (2) 2% ID : in-6-percentage [4] According to the question, the electrician bought the old TV for Rs. 830 and spent Rs. 50 for fixing it. Therefore, the total cost incurred = = Rs. 880 Also, the selling price of the TV = Rs So, gain = Selling price of the TV - Total cost of the TV = = Rs Step 4 Thus, gain percentage = Gain Total cost of the TV = = = 2% Step 5 Hence, the electrician made a profit of 2%.

5 (3) A) 29:0 ID : in-6-percentage [5] To convert 2.9% into ratio, we will divide it first by and remove the percentage symbol(%). Therefore, 2.9% can be written as : 2.9% = 2.9 and reduce the given fraction in the simplest form as: 2.9 = 29 0 Now, we can write the given fraction as a ratio : 29 0 = 29:0 Therefore, the ratio of 2.9% is 29:0. B) 4:5 To convert 80% into ratio, we will divide it first by and remove the percentage symbol(%). Therefore, 80% can be written as : 80 80% = and reduce the given fraction in the simplest form as: 80 = 4 5 Now, we can write the given fraction as a ratio : 4 5 = 4:5 Therefore, the ratio of 80% is 4:5.

6 C) 22: ID : in-6-percentage [6] To convert 88% into ratio, we will divide it first by and remove the percentage symbol(%). Therefore, 88% can be written as : 88 88% = and reduce the given fraction in the simplest form as: 88 = 22 Now, we can write the given fraction as a ratio : 22 = 22: Therefore, the ratio of 88% is 22:. D) 27: To convert 27% into ratio, we will divide it first by and remove the percentage symbol(%). Therefore, 27% can be written as : 27 27% = Now, we can write the given fraction as a ratio : 27 = 27: Therefore, the ratio of 27% is 27:.

7 E) 43:50 ID : in-6-percentage [7] To convert 86% into ratio, we will divide it first by and remove the percentage symbol(%). Therefore, 86% can be written as : 86 86% = and reduce the given fraction in the simplest form as: 86 = Now, we can write the given fraction as a ratio : 43 = 43:50 50 Therefore, the ratio of 86% is 43:50. F) 71: To convert 71% into ratio, we will divide it first by and remove the percentage symbol(%). Therefore, 71% can be written as : 71 71% = Now, we can write the given fraction as a ratio : 71 = 71: Therefore, the ratio of 71% is 71:.

8 ID : in-6-percentage [8] (4) A) 12 To convert any percent into fraction, we have to divide it by. 48% can be converted into fraction as: 48% = 48 = 12 Hence, the fraction of 48% in the simplest form is 12. B) 7 50 To convert any percent into fraction, we have to divide it by. 14% can be converted into fraction as: 14% = 14 = 7 50 Hence, the fraction of 14% in the simplest form is 7 50.

9 ID : in-6-percentage [9] C) 9 To convert any percent into fraction, we have to divide it by. 36% can be converted into fraction as: 36% = 36 = 9 Hence, the fraction of 36% in the simplest form is 9. D) 6 To convert any percent into fraction, we have to divide it by. 24% can be converted into fraction as: 24% = 24 = 6 Hence, the fraction of 24% in the simplest form is 6.

10 (5) 0 ID : in-6-percentage [10] 18% of 50 = = % of 18 = = 900 Now, we can find value of required expression: (18% of 50) (50% of 18) = = 0 (6) A) 1890 Let us assume that % of x is Now, we can represent ' % of x is 18.9' as: x % = 18.9 x = 18.9 x x = 18.9 x = 1890 = Therefore, we can say that % of 1890 is 18.9.

11 B) 448 ID : in-6-percentage [11] Let us assume that % of x is Now, we can represent ' % of x is 8.96' as: x % = 8.96 x = 8.96 x x = 8.96 x = 448 = Therefore, we can say that % of 448 is 8.96.

12 C) 992 ID : in-6-percentage [12] Let us assume that 16 % of x is Now, we can represent ' 16 % of x is 4.96' as: x 16 % = 4.96 x 16 = 4.96 x 1600 x = 4.96 x = 992 = Therefore, we can say that 16 % of 992 is 4.96.

13 D) 92 ID : in-6-percentage [13] Let us assume that 7 4 % of x is Now, we can represent ' 7 4 % of x is 1.61' as: x 7 4 % = 1.61 x 7 4 = 1.61 x x = 1.61 x = 92 = Therefore, we can say that 7 4 % of 92 is (7) A) 21.7% To convert any decimal into fraction, we have to multiply it with. Therefore, the decimal can be converted into percent as : = % = 21.7% Hence, the decimal can be expressed in percent as 21.7%.

14 B) 26.5% ID : in-6-percentage [14] To convert any decimal into fraction, we have to multiply it with. Therefore, the decimal can be converted into percent as : = % = 26.5% Hence, the decimal can be expressed in percent as 26.5%. C) 3.1% To convert any decimal into fraction, we have to multiply it with. Therefore, the decimal can be converted into percent as : = % = 3.1% Hence, the decimal can be expressed in percent as 3.1%. D) 131% To convert any decimal into fraction, we have to multiply it with. Therefore, the decimal 1.31 can be converted into percent as : 1.31 = 1.31 % = 131% Hence, the decimal 1.31 can be expressed in percent as 131%.

15 E) 1.84% ID : in-6-percentage [15] To convert any decimal into fraction, we have to multiply it with. Therefore, the decimal can be converted into percent as : = % = 1.84% Hence, the decimal can be expressed in percent as 1.84%. F) 28% To convert any decimal into fraction, we have to multiply it with. Therefore, the decimal 0.28 can be converted into percent as : 0.28 = 0.28 % = 28% Hence, the decimal 0.28 can be expressed in percent as 28%. (8) 5 6 In the question, there are four people: Gita, Meenakshi, Kareem, and Aamir. Everyone's income is directly or indirectly told in the terms of Aamir's income. Let us write Gita's, Meenakshi's, and Kareem's income as a percentage of Aamir's income first. Gita's income: Gita's income is 50% less than Aamir's income. This means, Gita's income is ( - 50) = 50% of Aamir's income Step 4 Meenakshi's income: Meenakshi's income is 30% less than Gita's income. This means, Meenakshi's income is ( - 30) = 70% of Gita's income = 70% of 50% of Aamir's income...[gita's income is 50% of Aamir's income] = 70% 50% of Aamir's income = (70 50)/ % of Aamir's income...[when we multiply two percentages, we have to divide it by

16 to get the final percentage.] = 3500/ % of Aamir's income = 35% of Aamir's income ID : in-6-percentage [16] Step 5 Kareem's income: Kareem's income is 40% less than Gita's income. This means, Kareem's income is ( - 40) = 60% of Gita's income = 60% of 50% of Aamir's income = 60% 50% of Aamir's income = (60 50)/ % of Aamir's income = 30% of Aamir's income Step 6 So, Meenakshi's income = 35% of Aamir's income< Kareem's income = 30% of Aamir's income According to the question, Aamir gives 40% of his income to Meenakshi and 60% of his income to Kareem. Their new incomes will be: Meenakshi's new income = ( ) = 75% of Aamir's income Kareem's new income = ( ) = 90% of Aamir's income Step 7 Fraction of Meenakshi's new income to Kareem's new income = (75% of Aamir's income)/(90% of Aamir's income) = = 5 6

17 (9) A) % ID : in-6-percentage [17] To convert any fraction into percent, we have to multiply it with. Therefore, the fraction can be converted into percent as: = = % Hence, the percent of fraction is %. B) % To convert any fraction into percent, we have to multiply it with. Therefore, the fraction 9 3 can be converted into percent as: 9 3 = 9 3 = % Hence, the percent of fraction 9 3 is %.

18 C) % ID : in-6-percentage [18] To convert any fraction into percent, we have to multiply it with. Therefore, the fraction can be converted into percent as: = = % Hence, the percent of fraction is %. D) % To convert any fraction into percent, we have to multiply it with. Therefore, the fraction 24 can be converted into percent as: 24 = 24 = % Hence, the percent of fraction 24 is %.

19 E) % ID : in-6-percentage [19] To convert any fraction into percent, we have to multiply it with. Therefore, the fraction can be converted into percent as: = = % Hence, the percent of fraction is %. F) % To convert any fraction into percent, we have to multiply it with. Therefore, the fraction 54 6 can be converted into percent as: 54 6 = 54 6 = % Hence, the percent of fraction 54 6 is %. (10) Rs. 24 (8% of Rs. ) = 8/ = Rs. 8 (% of Rs. 8) = 8 / = Rs. 8 Therefore, (8% of Rs. ) + (% of Rs. 8) + Rs. 8 = Rs. 8 + Rs. 8 + Rs. 8 = Rs. 24

20 (11) 200 kg. ID : in-6-percentage [20] If we look at the given chart carefully, we notice that the production of guavas, oranges, grapes, bananas in a farm is %, 12.5%, 50%, 12.5%, respectively. According to the question, the production of guavas is 110 kg, which is % of the farm. or we can say that % production of the farm = 110 kg % production of a farm = 50% production of the farm = = 200 kg. Since, the production of grapes is 50% of the farm and 50% production of the farm is 200 kg, the production of grapes will be 200 kg.

21 (12) 70 ID : in-6-percentage [21] Let us assume the number to be x % of x = x = 70x If we look at the question carefully, we will notice that the number(x) is equal to the sum of 21 and 70 % of x. So, it can be written as: x = x x = x x x = By cross multiplying both the sides x = x x - 70x = 2 30x = 2 x = 2 30 x = 70 Therefore, the number is 70. (13) c. 1.7% of 5.3 If we multiply and divide any number by the same number, then the number remains unaffected. Therefore, 17% of 0.53 can be written as : 10 17% of 0.53 = 17% of = 17 % of = 1.7% of 5.3 Now, we can say that 17% of 0.53 is same as 1.7% of 5.3.

22 (14) b. C ID : in-6-percentage [22] If we look at the regular polygon carefully, we will notice that the number of sides of a regular polygon are 6. 1 Therefore, the length of a side of a regular polygon = 6 Since, the distance walked by the cat on the periphery in the clock-wise direction = 40% = Therefore, the number of sides walked by the cat on the regular polygon = Distance walked by the cat 40 Length of a side of the polygon 40 = 1 = = 240 = 2.4 It means that the cat walked on 2 sides of the regular polygon and is walking on the 3 rd side of the regular polygon in the clock-wise direction. Since it starts from point s, the cat will be on the side C after walking 40% distance of the periphery in the clock-wise direction.

23 (15) True ID : in-6-percentage [23] According to the question, we have been asked to verify that 39% of 65% of 400 = 65% of 39% of 400 is true or false. Let us compare L.H.S and R.H.S: L.H.S = 39 [ ] = R.H.S = 65 [ 39 Now, L.H.S = R.H.S 400] = Therefore, 39% of 65% of 400 = 65% of 39% of 400 is true.