Quantitative Aptitude

Fractions and Percentages

344 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 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

Convert the following percents into fractions:

$40\dfrac{2}{3}\%$

  1. $\dfrac{61}{50}$
  2. $\dfrac{61}{100}$
  3. $\dfrac{61}{150}$
  4. $\dfrac{183}{150}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$a\%=\dfrac { a }{ 100 } $ in fraction

$40\dfrac { 2 }{ 3 } \%=\dfrac { 122 }{ 3 } \%\ \quad \quad \quad =\dfrac { 122 }{ 3 } \times \dfrac { 1 }{ 100 } \ \quad \quad \quad  =\dfrac { 61 }{ 150 } $

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

15% of 10% of 20% of 1000 is 

  1. $1.50$
  2. $67$
  3. $150$
  4. $3$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$15\%$ of $10\%$ of $20\%$ of $1000$


$\Rightarrow 15\%$ of $10\%\left[\dfrac{20}{100}\times 1000\right]$

$\Rightarrow 15\%$ of $10\%$ of $200$

$\Rightarrow 15\%\left[\dfrac{10}{100}\times 200\right]$

$\Rightarrow 15\%$ of $20$

$\Rightarrow \dfrac{15}{100}\times 20$

$\Rightarrow  3$

$\therefore\ 15\%$ of $10\%$ of $20\%$ of $1000=3$