**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=

**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 % =

(b) 37.5%

Sol. 37.5 % =

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

(a)

Sol.

(b) 7.5 %

S0l. 7.5%=

## Converting a Given Fraction or Decimal into Percentage

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

**Example 1. Convert into percentage.**

Sol.

**Example 2 . Convert 0.08 into a percentage.**

Sol. 0.08=(0.08 x 100) % =

### 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=

#### 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= of a km

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

Sol. 20 kg as a percent of 400 kg =

##### MCQ on percentage questions for class 6

**(i) Convert 40% as a fraction .**

(a) (b) (c) (d)

Sol.

Hence option (a) is correct.

**(ii) Convert into a percentage. **

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

Sol.

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 = of 160 km = 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 =

Marks scored by Tanya = 85% of 80 =

Marks scored by Pranoy = 82.5% of 80 =

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= . 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 . Then

Thus =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%= . 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 =

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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