Percentage questions for class 6 and practice worksheet PDF Download

Percentage questions for class 6

Per means ‘for every’ or ‘out of and cent means ‘hundred’ . Thus percent means ‘ for every hundred’ or ‘out of hundred’. The term percent comes from two Latin words per centum which means ‘out of 100’. Thus  5 percent means 5 out of 100=\frac{5}{100}= 5 hundredths. The symbol for percent is %

. Example 23% =23 hundredths= \frac{23}{100}

percentage questions for class 6

Converting a  Percentage into a Fraction or Decimal:

To convert a given percentage into a fraction or decimal

(i) Remove the sign of percentage  and at the same  time divide by 100.

(ii) Reduce the resulting fraction into its lowest terms  or decimal as required.

Example 1. Express each of the following as fraction.

(a) 40%

Sol.  40 % =\frac{40}{100}=\frac{2}{5}

(b) 37.5%

Sol.  37.5 % =\frac{37.5}{100}=\frac{375}{1000}=\frac{3}{8}

Example 2.  Express each of the following as a decimal.

(a)  6\frac{1}{4} %

Sol. 6\frac{1}{4} %=\frac{25}{4} %= \frac{25}{4}\times \frac{1}{100}=\frac{1}{16}=0.0625

(b) 7.5 %

S0l. 7.5%=\frac{7.5}{100}=\frac{75}{1000}=0.075

Converting a Given Fraction or Decimal into Percentage

To convert a given fraction or decimal into percentage , multiply by 100.

Example 1. Convert  2\frac{3}{5} into percentage.

Sol. 2\frac{3}{5}=\frac{13}{5}=(\frac{13}{5} \times 100)%=260 %

Example 2 . Convert  0.08 into a percentage.

Sol.  0.08=(0.08 x 100) % =(\frac{8}{100}\times 100)%=8%

Finding  the Percentage of a Given Number

To find percentage of a number , convert the given percentage to a fraction and  then multiply the fraction by the given number.

Example : Find 6 % of 400. 

Sol.  6 % of 400= \frac{6}{100}\times 400=24

Convert one Quantity as a Percentage  of the other

Divide the  first quantity by the second one and multiply the result by 100%.

Example 1. Write 20 m as a percentage of 1 km.

Sol.  1 km =1000 m

20 m as a percentage of 1 km= (\frac{20}{1000}\times 100) % = 2% of a km

Example 2. Express  20 kg  as a percent of  400 kg .

Sol. 20 kg  as a percent of  400 kg  = (\frac{20}{400}\times 100%)= 5 %

MCQ on percentage questions for class 6

(i) Convert 40% as a fraction .

(a) \frac{2}{5}            (b) \frac{1}{5}             (c) \frac{3}{6}             (d) \frac{3}{4}

Sol. 40 %= \frac{40}{100}=\frac{2}{5}

Hence  option (a) is correct.

(ii) Convert \frac{3}{4}   into  a percentage.   

(a) 25 %          (b) 60 %           (c) 35 %                (d) 75 %

Sol. \frac{3}{4}=(\frac{3}{4}\times 100) % =75%

Ans.  Option  (d) is correct.

(iii)  Find 8 % of 160 km .

(a) 13 km                (b) 14 km                (c)  12.8 km                    (d) 10 km

Sol.  8 % of 160 km = \frac{8}{100} of 160 km = 160 \times \frac{8}{100}= \frac{64}{5} km = 12.8 km

Hence option (c) is correct .

(iv) An English test was conducted out of 80 marks. Vani scored 90 %, Tanya scored 85% and Pranoy scored 82.5%. How many marks  did each one score?

(a) 72, 68, 66                 (b)75, 68, 60             (c) 72, 70, 64            (d) 70, 68, 58

Sol. Marks scored by Vani=  90% of 80 = \frac{90}{100}\times 80=72

Marks scored by Tanya = 85% of 80 =\frac{85}{100}\times 80=68

Marks scored by Pranoy = 82.5% of 80 =\frac{82.5}{100}\times 80=\frac{825}{1000}\times 80=66

Hence option (a) is correct.

(v) Jatin scored  570 marks out of 600. What is the percentage of marks scored?

(a) 80%          (b) 90%          (c) 60%            (d) 95%

Sol. Maximum marks= 600

Marks scored=570

Percentage of marks scored=\frac{570}{600}\times 100=95% . Jatin scored  95% marks.

Option (d) is right.

(vi) What per cent of 85 is 17?

(a) 10%      (b)   20%       (c)  30%       (d)  40%

Sol. Let the required % be x. Then \frac{x}{100}\times 85=17 \Rightarrow x \times 85=17\times 100

Thus \frac{17 \times 100}{85} =20  So the 20% of 85 is 17.  Hence option (b) is correct.

(vii) What percent is 7m 80cm  of 65m ?

(a) 13%        (b) 10 %        (c) 15 %     (d) 12%

Sol.  7m 80cm =780cm

65m=6500cm

Required%= (\frac{780}{6500}\times 100)%=12%. Option (d) is correct.

(viii)A group of 80 students went on a picnic . 15% of them were girls. How many girls were there in the group? How many were boys?

(a) 12, 68                       (b)15, 30                   (c)    20, 30                (d)   30, 40 

Sol. Total number of students =80

Percentage of girls=15%

Number of girls= 15% of 80     =\frac{15}{100}\times 80=12

Number of boys=80-12 =68. Hence option (a) is true.

Percentage questions for class 6 PDF

Download PDF  percentage worksheet for class 6        

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