Percentage Questions And Answers, deals with various concepts which are as under:-

- Convert Percent to Fraction
- Convert Percent to decimal
- Convert Ratio to Percentage
- Convert Fraction to Percent
- Convert Percentage to Ratio
- Finding a number, whose percentage value is given
- Net Increase or Decrease Percentage in a Number
- Finding a number when its decreased percentage is given
- Finding a number when its increased percentage is given

**Percentage Questions And Answers – Convert Percent to Fraction**

**Step 1** – In order to convert Percent to Fraction, we divide the Percentage by 100, and remove the sign of Percentage (%).

**Step 2** – Simplify the Fraction

**Question 1:**

Convert 40 % into a Fraction?

**Solution:**

In order to convert a Percentage into a Fraction, we divide the Percentage by 100, and remove the sign of Percentage (%).

We have,

40 % =

On Simplifying,

HCF of 40 and 100 is 20

Divide both 40 and 100 by their HCF

=

**Percentage Questions And Answers – ****Convert Percent to decimal**

In order to convert Percent to Decimal we have to perform the following steps:

**Step 1 –** Convert the Percentage into Fraction, by dividing the given Percentage by 100.

**Step 2 –** Convert the Fraction obtained at Step 1, into a Decimal form , by dividing numerator by Denominator.

**Question 2:**

Convert 12 % into a decimal.

**Solution:**

In order to convert given Percentage into into decimal we have to perform the following steps:

Step 1 – Convert the Percentage into Fraction, by dividing the given Percentage by 100

i.e, 12 % =

Step 2 – Convert the Fraction obtained at Step 1, into a Decimal form , by dividing numerator by Denominator

i.e, = 0.12

Hence, 12 % = 0.12

**Percentage Questions And Answers – ****Convert Ratio to Percentage**

To convert Ratio to Percentage we have to follow following steps:

**Step 1 –** Convert the Ratio into Fraction.

**Step 2** **–** Multiply the Fraction by 100 and put the Percentage sign to the result (%)

**Question 3:**

Convert 8 : 40 into a Percentage.

**Solution:**

To convert the given ratio into Percentage we have to follow following steps:

Step 1 – Convert the ratio into Fraction

8 : 40 =

Step 2 – Multiply the Fraction by 100 and put the Percentage sign to the result (%)

( x 100 ) %

On solving the given Fraction, we get,

= 20 %

**Percentage Questions And Answers – ****Convert Fraction to Percent**

To convert Fraction to Percent, we need to multiply the Fraction by 100, and assign the Percentage (%) sign to it.

**Question 4:**

Convert into Percentage.

**Solution:**

To convert a Fraction into Percentage, we need to multiply the Fraction by 100, and assign the Percentage (%) sign to it.

that is, ( x 100 ) % = 23 %

**Percentage Questions And Answers – **Convert Percentage to Ratio

**Step I** – In order Convert Percentage to Ratio, we need to divide the given percentage by 100.

=

**Step II**** ** – Reduce the Fraction obtained in Step I into its Simplest form.

**Step III **– Convert the Fraction (** obtained in step II** ) into Ratio by replacing the slash mark with a colon.

**Question 5:**

Express 8 % as a ratio.

**Solution:**

In order to express a Percentage as a ratio, we need to write

= =

On Simplifying,

HCF of 8 and 100 is 4

Divide both 8 and 100 by their HCF

= = 2 : 25

**Percentage Questions And Answers – **Finding a number, whose percentage value is given

**Question 6:**

If 35 % of a number is 105, find the number?

**Solution:**

We can form a linear equation to express the given statement and then arrive at the number

Let the required number be

We are given that

35 % of is 105

or in other words

x = 105

On cross multiplication, we get

= ,

= 300

Hence, the number is 300

**Percentage Questions And Answers – **Net Increase or Decrease Percentage in a Number

**Question 7:**

A number is increased by 20 % and then decreased by 15 %. The net increase or decrease percentage is?

**Solution:**

We can form a linear equation to express the given statement and then arrive at the number

Let the required number be “a”

Step I:

If the number is increased by 20 % it would be equal to ( Given Number + 20 % of Given Number )

= ( a + )

= ( 1 + ) a

= ( ) a

=

Step II:

If the number at Step 1 is decreased by 15 % it would be equal to ( Increased Number – 15 % of Increased Number )

= ( – x )

= ( – )

= ( ) a

=

=

Net Increase = ( – a )

= ( )

=

Net Increase Percentage = ( x x 100 )

= 2 %

Hence, Net Increase Percentage is = 2 %

**Percentage Questions And Answers – **Finding a number when its decreased percentage is given

**Question 8:**

A number when decreased by 15 % gives 170. The number is?

**Solution:**

Here we take the help of linear equation. First we will form the equation.

Let the number be ‘a’

15 % of ‘a’ = a

Since, the equation is:

a – a = 170

Taking 100 as LCM on LHS

= 170,

a = 170

a =

a = 200

Hence, the number is 200

**Percentage Questions And Answers – **Finding a number when its increased percentage is given

**Question 9:**

A number, when increased by 50% gives 150. The number is?

**Solution:**

The problem can be solved using linear equation.

Let the number be ‘a’

50% of a = a

We are given that, a + a = 150

Taking 100 as LCM on LHS

= 150,

a = 150

a =

a = 100

Hence, the number is 100

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