Tag: use of percentages

Questions Related to use of percentages

Express the following as fraction and simplify:

$8 \%$

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

  1. $0$

  2. $\cfrac {1}{25}$

  3. $\cfrac {2}{25}$

  4. $\cfrac {4}{25}$

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Correct Option: C
Explanation:

To convert a percent to a fraction, write it over a denominator of 100 and simplify:
$8\% = \cfrac{8}{100} = \cfrac{2}{25}$

Convert $75$% to a fraction

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

  1. $2/3$

  2. $3/4$

  3. $4/5$

  4. None

Show answer
Correct Option: B
Explanation:

$75$%$=\cfrac{75}{100}=\cfrac{3}{4}$

Square root of $64$% is?

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

  1. $0.8$

  2. $0.72$

  3. $0.74$

  4. $0.76$

Show answer
Correct Option: A
Explanation:

We have, $\sqrt{64\%}$


$\Rightarrow$  $\sqrt{\dfrac{64}{100}}$

$\Rightarrow$  $\dfrac{8}{10}$

$\Rightarrow$   $0.80$

$\therefore$    Square root of $64\%$ is $0.8.$

A reduction of 20% in the price of rice enables a person to buy 3.5 kg more for Rs. 77. Then the original price per kg is

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

  1. Rs. 4.00

  2. Rs. 4.50

  3. Rs. 5.00

  4. Rs. 5.50

Show answer
Correct Option: D
Explanation:

Let the original price of rice be $Rs. x\ per\ kg$.


New price $=\dfrac{4x}{5}\ per\ kg$

According to the question,
$\dfrac{77}{\dfrac{4x}{5}}-\dfrac{77}{x}=3.5$
$\dfrac{385-308}{4x}=3.5$
$\dfrac{77}{4x}=3.5$
$x=\dfrac{77}{14}$
$x=Rs.5.5\ per\ kg$

Hence, this is the answer.