Tag: percentage of a quantity

Questions Related to percentage of a quantity

15% of 10% of 20% of 1000 is 

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

  1. $1.50$

  2. $67$

  3. $150$

  4. $3$

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Correct Option: D
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 $1000=3$

If $40$%of a number is equal to two-third of another number, what is the ratio of first number to the second numbers?

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

  1. 2:5

  2. 3:7

  3. 5:3

  4. 7:3

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Correct Option: C
Explanation:
$(l-m) (lm+l+x^{2})=0$
 Let the number be $x _{1} y$
Given :- $40\% $ of $(x) = \dfrac{2}{3}$ of $(y)$
to find :-$\dfrac{x}{y}= ?$
$\dfrac{40}{100} \times x = \dfrac{2}{3} \times y$
$\dfrac{x}{y}= \dfrac{2}{3} \times \dfrac{100}{40}$
$\Rightarrow \dfrac{x}{y}= \dfrac{5}{3}$

$5\%$ of $600$

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

  1. $30$

  2. $60$

  3. $160$

  4. $600$

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Correct Option: A
Explanation:

$5\%$ of $600=\dfrac{5}{100}\times 600=5\times 6=30$

Hence, the answer is $30.$

The possible percentage error in computing the parallel resistance $R$ of three resistances $R _{1},R _{2},R _{3}$ from the formula $\dfrac {1}{R}=\dfrac {1}{R _{1}}+\dfrac {1}{R _{2}}+\dfrac {1}{R _{3}}$, if $R _{1},R _{2},R _{3}$ are each by $1.2\%$

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

  1. $1.2$

  2. $1.3$

  3. $1.3$

  4. $1.7$

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Correct Option: A

If $33\displaystyle\frac{1}{3}\%$ of $A=1.5$ of $B=\displaystyle\frac{1}{8}$ of $C$, then $A\colon\,B\colon\,C$ is

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

  1. $\;24\colon2\colon9$

  2. $\;2\colon9\colon24$

  3. $\;9\colon2\colon24$

  4. $\;9\colon24\colon2$

Show answer
Correct Option: C
Explanation:

$\;\displaystyle\frac{100}{3\times100}\times\,A=\displaystyle\frac{3}{2}\times\,B=\displaystyle\frac{1}{8}\times\,C=x\,(say)$
$\;\;\;\;\;\Rightarrow\;A=3x,\,B=\displaystyle\frac{2}{3}x,\,C=8x$
$\;\;\;\;\;\;\Rightarrow\;A\colon\,B\colon\,C=3\colon\displaystyle\frac{2}{3}\colon8=9\colon2\colon24$.

If the numerator of a fraction is increased by $300\%$ and the denominator is increased by $500\%$, the resultant fraction is $\displaystyle\frac{5}{12}$. What was the original fraction?

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

  1. $\;\displaystyle\frac{8}{5}$

  2. $\;\displaystyle\frac{5}{8}$

  3. $\;\displaystyle\frac{12}{5}$

  4. $\;\displaystyle\frac{5}{7}$

Show answer
Correct Option: B
Explanation:

Let the original fraction be $\dfrac {p}{q}$. 

Then, $\displaystyle\frac{p+\displaystyle\frac{300}{100}P}{q+\displaystyle\frac{500}{100}P}=\displaystyle\frac{5}{12}$
$\Rightarrow \displaystyle\frac{4p}{6q}=\displaystyle\frac{5}{12}$
$\Rightarrow\;\displaystyle\frac{p}{q}=\displaystyle\frac{5}{12}\times\displaystyle\frac{6}{4}=\displaystyle\frac{5}{8}$

Half of $1$ percent written as a decimal is

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

  1. $0.2$

  2. $0.02$

  3. $0.05$

  4. $0.005$

Show answer
Correct Option: D
Explanation:

Half of $ 1\%$ in decimals

It will be $\displaystyle \frac {1}{2} \times 1 \% = \displaystyle \frac {1}{2}\times  \frac {1}{100}$
$ = \displaystyle \frac {1}{200}= 0.005$

What percentage is equivalent to $\dfrac {3}{8}$ ?

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

  1. $33.33\%$

  2. $39\%$

  3. $37.5\%$

  4. $40\%$

Show answer
Correct Option: C
Explanation:
$\dfrac {3}{8}$ can be written in percentage form as:
Equivalent percentage  $= \dfrac {(3 \times 100)}{8} = 37.5\%$
So, option C is correct.

If $m > 0$ and $x$ is $m$ percent of $y$, then in terms of $m$, $y$ is what percent of $x$ ? 

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

  1. $100$ m

  2. $\dfrac{1}{100}$ m

  3. $1$ m

  4. $10$ m

  5. $\dfrac {10000}{m}$

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Correct Option: E
Explanation:

Given that : x is $m\%$ of y

$\Rightarrow x = \cfrac{m}{100} \times y$ 
Now, let's say that y is $k\%$ of x, then
$y = \dfrac{k}{100} \times x$
But $x= \cfrac{m}{100} \times y$
$\therefore y =\cfrac{k}{100} \times \cfrac{m}{100} \times y$
$k = \cfrac{10000}{m}$

Express $0.08\%$ as a fraction

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

  1. $\dfrac{1}{250}$

  2. $\dfrac{1}{1250}$

  3. $\dfrac{1}{125}$

  4. $\dfrac{1}{25}$

Show answer
Correct Option: B
Explanation:

$0.08\%$ can be written as $\dfrac{0.08}{100}$

$=\dfrac{8}{10000}$
$=\dfrac{1}{1250}$
Hence, option B is correct.