Tag: money and metric measures as percentage

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Questions Related to money and metric measures as percentage

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

Ram scored $30$% marks and failed by $15$ marks. Aditya score $40$% marks and obtained $35$ marks more than those required to pass. The pass percentage is?

  1. $33$%
  2. $38$%
  3. $43$%
  4. $46$%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Let the total no of marks for $x$
Let the passing marks for y
$\dfrac{30}{100}x+15=y$ ______(1)
$\dfrac{40}{100}x=y+35$
$\dfrac{40}{100}x-35=y$_______(2)
(1) - (2)
$\dfrac{-10x}{100}+50=0$
$\dfrac{10x}{100}=50\Rightarrow x=500$
$y=\dfrac{40}{100}\times 500-35=200-35=165$
$m\%$ of $x=y$
$\dfrac{m}{100}\times 500=165$
$m=33\%$
Multiple choice maths percentages finding one number as percentage of another money and metric measures as percentage expressing one quantity as a percentage of another

If $35\% $ of a number is $175$, then what percent of $175$ is that number ?

  1. $35\% $
  2. $65\% $
  3. $285.71\% $
  4. $420\% $
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Let the required number be $x$

It is given that $35$% of that number is $175$

=> $\dfrac { 35 \times  x }{ 100 } =175$

=> $x= \dfrac { 175 \times  100 }{ 35 }$

=> $x= 500$

Now, the question requires the percentage that $500$ is of that number

Let that percentage be $y \%$.

Now, $\dfrac { y \times  175 }{ 100 } =500$

=>$ y=\dfrac { 500 \times  100 }{ 175 } $

=>$ y = 285.714$

Hence the answer is $ 285.71\%$

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

If $2\, \displaystyle \frac{1}{2}\, \%$ofa a number is 0.2, then what will be 120 % of it?

  1. 10.8

  2. 4.8

  3. 9.6

  4. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$2\, \displaystyle \frac{1}{2}\, \%$ of x = 0.2


$\displaystyle \frac{5}{200}\, \times\, x\, =\, 0.2$

$x\, =\, 0.2\, \times\, \displaystyle \frac{200}{5}\, =\, 8$

120 % of $8\, =\, \displaystyle \frac{120}{100}\, \times\, 8\, =\, 9.6$

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

If $p _1\%$ of number $N _1$ is equal to $p _2\%$ of number $N _2$, what percent of $N _1$ is $N _2$?

  1. $\displaystyle\frac{100p _1}{p _2}$
  2. $\displaystyle\frac{100p _2}{p _1}$
  3. $\displaystyle\frac{p _1}{p _2}$
  4. $\displaystyle\frac{p _2}{p _1}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\displaystyle\frac{p _1}{100}\times N _1=\frac{p _2}{100}\times N _2$

$\displaystyle\frac{N _1}{N _2}=\frac{p _2}{p _1}$, $\displaystyle N=\frac{p _2}{p _1}\times N _2$

Percent of $\displaystyle N _1=\left(\frac{p _2}{p _1}\times100\right)\%$ of $N _2$

Percent of $\displaystyle N _2=\left(\frac{p _2}{p _1}\times100\right)\%$ of $N _1$

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

The value of a machine is Rs. $6,250$. It decreases by $10$% during the first year, $20$% during the second year and $30$% during the third year. What will be the value of the machine after $3$ years?

  1. Rs. $2,650$
  2. Rs. $3,050$
  3. Rs. $3,150$
  4. Rs. $3,510$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Value after $1^{st}$ year $=6250-\dfrac {10}{100}\times 6250$
$=5625\ Rs$
Value after $2^{nd}$ year $=5625-\dfrac {20}{100}\times 5625=\dfrac {80}{100}\times 5625$
$=4500\ Rs$
Value after $3^{rd}$ year $=4500-\dfrac {30}{100}\times 4500=\dfrac {70}{100}\times 4500$
$=Rs\ 3150$