Tag: fraction and percent

Questions Related to fraction and percent

Express the following percentages as ratios in the reduced form.

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. 75 : 100

  2. 44 : 100

  3. 6.25%

  4. 52 : 100

    1. 64%
Show answer
Correct Option: A

Each side of the cube is increased by 50%.Then the surface area of the cube is increased by 

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. 50%

  2. 100%

  3. 125%

  4. 150%

Show answer
Correct Option: C
Explanation:

Let each side be $1.5l$ (after increase).Then % increase in surface area
    =$\displaystyle\frac{13.5{l}^{2}-6{l}^{2}}{6{l}^{2}}\times 100$ =125 %

Equivalent of $\displaystyle \frac { 6 }{ 20 } $ is:

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. $6 \%$

  2. $20 \%$

  3. $26 \%$

  4. $30 \%$

Show answer
Correct Option: D
Explanation:
$\dfrac{6}{20}$$=\dfrac{6}{20} \times 100$ $=30\%$

The fraction $\dfrac {x}{y}$ is altered by decreasing $x$ by $25$ per cent and increasing $y$ by $25$ percent. The new fraction is what percent less than the original?

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. 35

  2. 40

  3. 42

  4. 45

Show answer
Correct Option: B
Explanation:

Let the fraction is $=\dfrac{x}{y}$

If we decrease $x$ by $25\%$, then the $x=.75x$
If we increase $y$ by $25 \%$,  then the $y=1.25y$
$\therefore$ new fraction is $=\dfrac{.75x}{1.25y}=0.6\dfrac{x}{y}$
So, the new fraction is $0.4$ or $40\%$ less than the original fraction.

Convert $\dfrac{16}{50}$ into percentage.

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. $32\%$

  2. $34\%$

  3. $36\%$

  4. $38\%$

Show answer
Correct Option: A
Explanation:

$\Rightarrow$  We have to convert $\dfrac{16}{50}$ into percentage.

$\Rightarrow$  $\%=(\dfrac{16}{50}\times 100)\%$

$\Rightarrow$  $\%=(16\times 2)\%$

$\therefore$    $\%=32\%$

Convert $\dfrac{14}{25}$ into percentage

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. $55\%$

  2. $56\%$

  3. $57\%$

  4. $58\%$

Show answer
Correct Option: B
Explanation:

$\Rightarrow$  We have to convert $\dfrac{14}{25}$ into percentage.

$\Rightarrow$  $\%=(\dfrac{14}{25}\times 100)\%$

$\Rightarrow$  $\%=(14\times 4)\%$

$\therefore$    $\%=56\%$

Convert $\dfrac{15}{50}$ into percentage

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. $35\%$

  2. $30\%$

  3. $25\%$

  4. $20\%$

Show answer
Correct Option: B
Explanation:

$\Rightarrow$  We have to convert $\dfrac{15}{50}$ into percentage.

$\Rightarrow$  $\%=(\dfrac{15}{50}\times 100)\%$

$\Rightarrow$  $\%=(15\times 2)\%$

$\therefore$    $\%=30\%$

In a survey, one in six people said they preferred a particular brand of cola. What this fraction is? And convert this fraction into percentage.

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. $25\%$

  2. $17\%$

  3. $10\%$

  4. $5\%$

Show answer
Correct Option: B
Explanation:

One in six people means $\dfrac{1}{6}$ people in fraction.


To convert a fraction into percentage, multiply it by $100$
$\therefore \dfrac{1}{6} = \dfrac{1}{6} \times 100 = 16.67\% \approx 17\%$

When Rani was buying her flat she had to put down a deposit of $\dfrac{1}{10}$ of the value of the flat. What percentage was this?

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. $10\%$

  2. $20\%$

  3. $30\%$

  4. $1\%$

Show answer
Correct Option: A
Explanation:

To convert a fraction into percentage, simply multiply it by $100$

So, $\dfrac{1}{10}$ of the value of the flat in percentage is $\dfrac{1}{10} \times 100 = 10\%$

I bought my coat in the January sales with $\dfrac{1}{3}$ off the original price. What percentage was taken off the price of the coat?

maths equivalence of fraction, decimal fraction, percentage and ratio converting a fraction or decimal to percentage conversion of fraction, decimal to percent fraction and percent

  1. $11\%$

  2. $22\%$

  3. $33\%$

  4. $44\%$

Show answer
Correct Option: C
Explanation:

Coat was bought at rate $\dfrac{1}{3}$ off the original price

Converting into percentage, $\dfrac{1}{3} \times 100 = 33.33\%$ was taken off the price of coat.