Tag: percent and percentage

Questions Related to percent and percentage

$\frac{1}{8}$% means 

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\frac{1}{8}$

  2. $\frac{100}{8}$

  3. $\frac{8}{100}$

  4. $\frac{1}{800}$

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Correct Option: D
Explanation:

$\frac{1}{8}$ % = $\frac{\frac{1}{8}}{100} = \frac{1}{800}$

Express:


35% as fraction

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\displaystyle\frac{7}{20}$

  2. $\displaystyle\frac{7}{30}$

  3. $\displaystyle\frac{14}{30}$

  4. $\displaystyle\frac{7}{10}$

Show answer
Correct Option: A
Explanation:

$35$ % = $\frac{35}{100}$ = $\frac{7}{20}$

Express $18\%$ as ratio

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $9:50$

  2. $9:100$

  3. $9:25$

  4. $9:75$

Show answer
Correct Option: A
Explanation:

$18$ % = $\dfrac{18}{100}$ = $\dfrac{9}{50}$

Square root of 49% is?

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $0.7$

  2. $70$%

  3. $7$

  4. $0.07$

Show answer
Correct Option: A
Explanation:

$49$% can be written as $\dfrac {49}{100}$


Therefore, 
$\sqrt {\dfrac {49}{100} }= \dfrac{7}{10} = 0.7$

Express the following as fraction and simplify:

$420 \%$

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\cfrac {41}{5}$

  2. $\cfrac {1}{5}$

  3. $\cfrac {4}{5}$

  4. $\cfrac {21}{5}$

Show answer
Correct Option: D
Explanation:

To convert a percent to a fraction, write it over a denominator of 100 and simplify:
$420\% = \cfrac{420}{100} = \cfrac{21}{5}$

What will be the fraction of $20\%$ ?

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\dfrac{1}{4}$

  2. $\dfrac{1}{5}$

  3. $\dfrac{1}{10}$

  4. $\dfrac{1}{20}$

Show answer
Correct Option: B
Explanation:

The fraction of $20\%$ is 

$20\times \dfrac {1}{100}=\dfrac {1}{5}$
Hence, option B is correct.

$84\% =$ ______ in vulgar fraction.

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\dfrac{11}{20}$

  2. $\dfrac{21}{25}$

  3. $\dfrac{31}{20}$

  4. $\dfrac{41}{20}$

Show answer
Correct Option: B
Explanation:

Converting Given percent into simple fraction as :
$84\% =$ $\dfrac{84}{100}$
Reduce the fraction, we get
$\dfrac{84}{100}=\dfrac{21}{25}$

Convert $75\%$ into vulgar fraction.

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\dfrac{1}{4}$

  2. $\dfrac{2}{4}$

  3. $\dfrac{3}{4}$

  4. $\dfrac{5}{4}$

Show answer
Correct Option: C
Explanation:

Converting a given fraction into simple fraction as:

$75\% =$ $\dfrac{75}{100}$
Reduce the fraction, we get
$\dfrac{75}{100}=\dfrac{3}{4}$

What is $45\%$ in decimal?

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $0.45$

  2. $0.0045$

  3. $45.00$

  4. $0.54$

Show answer
Correct Option: A
Explanation:
Converting a given fraction into decimal as:

$45\% =$ $\dfrac{45}{100}$

On dividing, we get
$\dfrac{45}{100} = 0.45$

$60\%$ of what number if $45$?

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $27$

  2. $30$

  3. $60$

  4. $75$

  5. $90$

Show answer
Correct Option: D
Explanation:

Let the number be $ x $
So, $ 60 $ $\%$ of $ x = 45 $
$ \Rightarrow  \dfrac {60}{100} \times x = 45 $

$\Rightarrow 60 \times x=45 \times 100$
$ \Rightarrow  x =75 $