Tag: percentage of a quantity

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Questions Related to percentage of a quantity

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

$38$ liters of milk was poured into a tub and the tub was found to be $5\%$ empty. To completely fill the tub, what amount of additional milk must be poured?

  1. $1$ litres
  2. $2$ litres
  3. $3$ litres
  4. $4$ litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

After pouring $38$ litres of milk, $5\%$ is found empty.
Here $95\%$ of capacity of the tub $= 38$ liters
Therefore, capacity of the tub $= 30\times \dfrac {100}{95} $ litres $= 40$ litres
Thus additional milk to be poured $= (40 - 38) $ i.e., $2$ litres.

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

If $x\%$ of $24=64$, then the value of x is __________.

  1. $\displaystyle 37\frac{1}{2}$
  2. $\displaystyle 133\frac{1}{3}$
  3. $\displaystyle 266\frac{2}{3}$
  4. $\displaystyle 66\frac{2}{3}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$24\times\dfrac{x}{100}=64$

$x=\dfrac{64\times 100}{24}$$=266.667$$=266\dfrac{1}{3}$
Hence the correct answer is option C.

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

Choose the correct answer from the alternatives given :
A spider climbed $62\frac{1}{2}%$ of the height of the pole in one hour and in the next hour it covered $12\frac{1}{2}%$ of the remaining height. If poles height is 192 m. then distance climbed in second hour is

  1. $3$ m
  2. $5$ m
  3. $7$ m
  4. $9$ m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Remaining height = $\left (192 - \dfrac{125}{2}\% of 192 \right ) = $192- 120$ = 72 m$
Required distance (distance covered in second hour) then,
$\dfrac{25}{2}\% of\ 72 $= $\dfrac{25 \times 72}{2 \times 100} = 9 m$

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

Choose the correct answer from the alternatives given.
Prabhu purchased 30 kg of rice at the rate of Rs. 17.50 per kg and another 30 kg rice at a certain rate. He mixed the variety of two rice and sold the entire quantity at the rate of Rs.18 per kg and made 20% overall profit. At what price per kg did he purchase the lot of another 30 kg rice?

  1. Rs. 14.50

  2. Rs. 12.50

  3. Rs. 15.50

  4. Rs. 13.50
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the price at which the other $30$ kg was bought be Rs. x.
CP of mixture = $\frac{100}{120}\times 18 = 15$
$\frac{2.5}{15 x} = \frac{30}{30}$
$15x=2.5$
Hence, x= Rs. $12.5$

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 } $