Quantitative Aptitude

Fractions and Percentages

307 Questions

Fractions and percentages form the foundation of quantitative aptitude, requiring the conversion of values between different formats. Questions cover percentage increases, fractional equivalents, and basic arithmetic manipulations. These concepts are heavily tested in SSC, banking, and railway competitive exams.

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Fractions and Percentages Questions

Multiple choice maths calculating and mental strategies 3 finding percentage of a number how many in all? problems on percentage

$83.33\% $ of coins out of $36$ coins are $20$ paise coins and rest are $10$ paise coins which amounts to $6.60$. Find the number of $10$ paise coins.

  1. $8$
  2. $5$
  3. $6$
  4. $2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given : $83.33$% of $36$ coins are $20$ paisa coins

$83.33$% of $36 =\left( \cfrac { 83.33 }{ 100 }  \right) \times 36=30$

So, $30$ coins are $20$ paise coins and remaining $(36-30)= 6$ coins are $10$ paise coins.

Value $=30\times 20+6\times 10=660$ Paise $=Rs. 6.60$, which is the given amount.

$\therefore $ Number of $10$ paise coins are $6$.

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

Convert the following percents into fractions:

$33\dfrac{1}{3}\%$

  1. $\dfrac{99}{100}$
  2. $\dfrac{3}{100}$
  3. $\dfrac{33}{100}$
  4. $\dfrac{1}{3}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given percent  $={33}\dfrac{1}{3}\%$

Now, ${33}\dfrac{1}{3}=\dfrac{(33\times3)+1}{3}=\dfrac{100}{3}$
${33}\dfrac{1}{3}\%=\dfrac {100}{3}\times\dfrac{1}{100}=\dfrac {1} {3}$

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

Convert the following percents into fractions:

$6\dfrac{1}{4}\%$

  1. $\dfrac{2}{16}$
  2. $\dfrac{1}{16}$
  3. $\dfrac{25}{4}$
  4. $\dfrac{1}{4}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given percent $={6}\dfrac{1}{4}\%$
Now, ${6}\dfrac{1}{4}=\dfrac{(6\times4)+1}{4}$
                 $=\dfrac{25}{4}$
$\implies{6}\dfrac{1}{4}\%=\dfrac {25}{4}\times\dfrac{1}{100}$
                      $=\dfrac {1} {16}$
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 $% =$ $\displaystyle\frac{3}{8}\,=\, \frac{3}{8}\,\times\,\frac{100}{100}\,$
$=\, \dfrac{37.5}{100}\,$
$=\, 37.5 %$