Tag: money and metric measures as percentage

Questions Related to money and metric measures as percentage

If $30\%$ of $140=x\%$ of $840$, then the value of $x$ is _________.

maths percentages finding one number as percentage of another money and metric measures as percentage expressing one quantity as a percentage of another

  1. $5$

  2. $15$

  3. $24$

  4. $60$

Show answer
Correct Option: A
Explanation:

Given that $30\%$ of $140$ $=$ $x\%$ of $840$

Thus $\dfrac {30}{100}\times 140=\dfrac {x}{100}\times 840$
$\Rightarrow 42=8.4x$
$\Rightarrow x=5$

What is $25\%$ of $25\%$?

maths percentages finding one number as percentage of another money and metric measures as percentage expressing one quantity as a percentage of another

  1. $6.25$

  2. $0.625$

  3. $0.0625$

  4. $0.00625$

Show answer
Correct Option: C
Explanation:

We need to find $25\%$ of $25\%$

We know $25\%=\dfrac {25}{100}=0.25$
Thus $25\%$ of $0.25$ is equal to
$=\dfrac {25}{100}\times 0.25$
$=0.0625$
Hence, option C is correct.

If $p$ is $95\%$ of $q$, then what percentage of $p$ is $q$?

maths percentages finding one number as percentage of another money and metric measures as percentage expressing one quantity as a percentage of another

  1. 105%

  2. 105.3%

  3. 110%

  4. 115%

Show answer
Correct Option: B
Explanation:

$p=\cfrac{95q}{100}$

$\therefore \cfrac{q}{p} \times 100 = \cfrac{100}{95} \times 100=105.3\%$