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 % = 40/100
On Simplifying, 40/100
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 % = 12/100
Step 2 – Convert the Fraction obtained at Step 1, into a Decimal form , by dividing numerator by Denominator
i.e, 12/100 = 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 = 8/40
Step 2 – Multiply the Fraction by 100 and put the Percentage sign to the result (%)
( 8/40 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 23/100 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, ( 23/100 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
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 x
We are given that
35 % of x is 105
or in other words
35/100 × x = 105
On cross multiplication, we get
x = (105×100)/35
x = 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 )
Step II:
If the number at Step 1 is decreased by 15 % it would be equal to ( Increased Number – 15 % of Increased Number )
= 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’ = (15/100)a
Since, the equation is:
a – (15/100)a = 170
Taking 100 as LCM on LHS
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 = (50/100)a
We are given that, a + (50/100)a = 150
Taking 100 as LCM on LHS
Hence, the number is 100