Tag: percent and percentage

Questions Related to percent and percentage

Convert the following percents into fractions:
$8\dfrac{1}{3}\%$

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

  1. $\dfrac{1}{12}$

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

  3. $\dfrac{2}{75}$

  4. $\dfrac{3}{25}$

Show answer
Correct Option: A
Explanation:
Given percent : ${8}\dfrac{1}{3}\%$

${8}\dfrac{1}{3}=\dfrac{(8\times3)+1}{3}=\dfrac{25}{3}$

${8}\dfrac{1}{3}\%=\dfrac {25}{3}\times\dfrac{1}{100}=\dfrac {1} {12}$

$16\frac{2}{3}\% $ of $600$gm $ - 33\frac{1}{3}\% $ of $180$gm

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

  1. $20$ gm

  2. $30$ gm

  3. $40$ gm

  4. $60$ gm

Show answer
Correct Option: C
Explanation:
$16 \dfrac{2}{3}\%$ of $600\ gm-33 \dfrac{1}{3} \%$ of $180\ gm$
$\Rightarrow \left[ \dfrac{50}{3} \times \dfrac{1}{100} (600)- \left( \dfrac{100}{3} \times \dfrac{1}{100} \right) (180) \right] gm$
$\Rightarrow \left[ \dfrac{600}{6}- \dfrac{180}{3} \right]\ gm$
$\Rightarrow (100-60)\ gm$
$\Rightarrow 40\ gm$
$\therefore [16 2/3 \% \ of\ 600\ gm-33 1/3 \% \ of\ 180\ gm]=40\ gm$

$138\%$ is equal to:

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

  1. $\displaystyle \frac{68}{50}$

  2. $\displaystyle \frac{69}{50}$

  3. $13.8$

  4. $1.83$

Show answer
Correct Option: B
Explanation:

Given, $138 \%=.....$

We can write it as,
$138 \%  =\displaystyle \frac{138}{100} = \frac{69}{50}$ .... On dividing by $2$

$128\%$ is equal to:

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

  1. $\displaystyle \frac{32}{25}$

  2. $\displaystyle \frac{68}{50}$

  3. $12.8$

  4. $0.128$

Show answer
Correct Option: A
Explanation:

Given, we need to find $ 128 \%$

$\therefore 128$ $\%=$ $\displaystyle \frac{128}{100}=\frac{32}{25}$
Hence, option A is correct.

1.8% $=$ .......

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

  1. 1.800

  2. 1.8

  3. 0.18

  4. 0.018

Show answer
Correct Option: D
Explanation:

$1.8% $= $\dfrac{1.8}{100} = 0.018$

In a class of $200, 75\%$ were present How many were absent?

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

  1. $150$

  2. $50$

  3. $75$

  4. $125$

Show answer
Correct Option: B
Explanation:

Number of absent members
= 25 % of 200
= $\displaystyle \frac{25}{100}\times 200=50$

80% of a non-leap year $= ....... $days

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

  1. $288$

  2. $256$

  3. $292$

  4. $270$

Show answer
Correct Option: C
Explanation:

A non-leap year has $= 365$ days

$80\%$ of a non-leap year $= \dfrac{80}{100}\times 365$
                                        $= 292$ days

The percentage equivalent to $\displaystyle\frac{3}{8}$ is 

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

  1. $37.5\%$

  2. $0.375\%$

  3. $40\%$

  4. $3.75\%$

Show answer
Correct Option: A
Explanation:
We need to find percentage equivalent to $\dfrac {3}{8}$.
We know gain $% =$ $\displaystyle\frac{3}{8}\,=\, \frac{3}{8}\,\times\,\frac{100}{100}\,$
$=\, \dfrac{37.5}{100}\,$
$=\, 37.5 %$

0.9 percent can be expressed as

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

  1. $0.009$

  2. $0.09$

  3. $0.0009$

  4. $0.9$

Show answer
Correct Option: A
Explanation:

0.9% = $\displaystyle\frac{0.9}{100}\,=\, 0.009$

A person spends $33\frac{1}{3}$% of his total income on food.Amount spend on food will be what part of his income

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

  1. $33\frac{1}{3}$

  2. $3\frac{1}{33}$

  3. $\frac{1}{3}$

  4. $\frac{1}{33}$

Show answer
Correct Option: C
Explanation:

Let the persons income = $I$
He spends, $33 \frac{1}{3}$ % of his income = $\frac{100}{3}$ %
Thus, Money spend on food = $\frac{100}{3}$ % of I = $\frac{\frac{100}{3}}{100}$ of I = $\frac{I}{3}$

Thus, the man spends $\frac{1}{3}$ of his income on food.