Tag: money and metric measures as percentage

Questions Related to money and metric measures as percentage

Which of the following is a non-positive and non-negative integer ?

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

  1. 1

  2. 0

  3. -1

  4. 3

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Correct Option: B
Explanation:

The correct answer is 0 (b)

Since zero is neither positive nor negative .

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?

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

  1. $33$%

  2. $38$%

  3. $43$%

  4. $46$%

Show answer
Correct Option: A
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 $x=y$
$\dfrac{m}{100}\times 500=165$
$m=33\%$

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

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

  1. $35\% $

  2. $65\% $

  3. $285.71\% $

  4. $420\% $

Show answer
Correct Option: C
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\%$

$2.7$ is what percent of $18$ ?

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

  1. $12$%

  2. $13$%

  3. $14$%

  4. $15$%

Show answer
Correct Option: D
Explanation:

Percentage = $\dfrac {2.7}{18}$ $\times 100$


= $\dfrac {270}{18}$

= $\dfrac {30}{2}$ (removing common factor of 9)


= $15$%

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

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

  1. 10.8

  2. 4.8

  3. 9.6

  4. None

Show answer
Correct Option: C
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 $8\, =\, \displaystyle \frac{120}{100}\, \times\, 8\, =\, 9.6$

If 37% of a number is 990.86. What will be approximately 19% of that number?

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

  1. 600

  2. 500

  3. 700

  4. 550

Show answer
Correct Option: B
Explanation:

Let the number is x
then $x\times 37\div 100 = 990.80$
$x = 2678 approx$
$ 2678 \times 19 \div 100 = 508 = 500 approx$

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

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

  1. $\displaystyle\frac{100p _1}{p _2}$

  2. $\displaystyle\frac{100p _2}{p _1}$

  3. $\displaystyle\frac{p _1}{p _2}$

  4. $\displaystyle\frac{p _2}{p _1}$

Show answer
Correct Option: B
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 $N _1$

Successive Comminssion of $20$%, $10$% and $5$% on an atricle is equivalent to the commission

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

  1. $31$%

  2. $31.6$%

  3. $32.5$^

  4. $35$%

Show answer
Correct Option: A
Explanation:

Over all discount$=100\%-(80\%\times 90\%\times 95\%)=100\%-68.4\%=31.6\%$

$1000$ is how many times of $10$

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

  1. $200$

  2. $100$

  3. $300$

  4. $400$

Show answer
Correct Option: B
Explanation:

$\dfrac { 1000 }{ 10 } =100$

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?

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

  1. Rs. $2,650$

  2. Rs. $3,050$

  3. Rs. $3,150$

  4. Rs. $3,510$

Show answer
Correct Option: C
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 $=4500-\dfrac {30}{100}\times 4500=\dfrac {70}{100}\times 4500$
$=Rs\ 3150$