Tag: percent and percentage

Questions Related to percent and percentage

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

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

  1. $\dfrac{1}{12}$
  2. $\dfrac{25}{3}$
  3. $\dfrac{2}{75}$
  4. $\dfrac{3}{25}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Given percent : ${8}\dfrac{1}{3}\%$

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

${8}\dfrac{1}{3}\%=\dfrac {25}{3}\times\dfrac{1}{100}=\dfrac {1} {12}$
Multiple choice maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

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

  1. $20$ gm
  2. $30$ gm
  3. $40$ gm
  4. $60$ gm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
$16 \dfrac{2}{3}\%$ of $600\ gm-33 \dfrac{1}{3} \%$ of $180\ gm$
$\Rightarrow \left[ \dfrac{50}{3} \times \dfrac{1}{100} (600)- \left( \dfrac{100}{3} \times \dfrac{1}{100} \right) (180) \right] gm$
$\Rightarrow \left[ \dfrac{600}{6}- \dfrac{180}{3} \right]\ gm$
$\Rightarrow (100-60)\ gm$
$\Rightarrow 40\ gm$
$\therefore [16 2/3 \% \ of\ 600\ gm-33 1/3 \% \ of\ 180\ gm]=40\ gm$
Multiple choice maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

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

  1. $37.5\%$
  2. $0.375\%$
  3. $40\%$
  4. $3.75\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
We need to find percentage equivalent to $\dfrac {3}{8}$.
We know gain $% =$ $\displaystyle\frac{3}{8}\,=\, \frac{3}{8}\,\times\,\frac{100}{100}\,$
$=\, \dfrac{37.5}{100}\,$
$=\, 37.5 %$
Multiple choice maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

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

  1. $33\frac{1}{3}$
  2. $3\frac{1}{33}$
  3. $\frac{1}{3}$
  4. $\frac{1}{33}$
Reveal answer Fill a bubble to check yourself
C Correct answer
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.