Tag: equivalence of fraction, decimal fraction, percentage and ratio

Quizzes (2) Questions (30)

Questions Related to equivalence of fraction, decimal fraction, percentage and ratio

Multiple choice 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

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

  1. 50%

  2. 100%

  3. 125%

  4. 150%
Reveal answer Fill a bubble to check yourself
C Correct answer
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 %

Multiple choice 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

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?

  1. 35

  2. 40

  3. 42

  4. 45
Reveal answer Fill a bubble to check yourself
B Correct answer
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.

Multiple choice 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

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

  1. $32\%$
  2. $34\%$
  3. $36\%$
  4. $38\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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

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

$\Rightarrow$  $\%=(16\times 2)\%$

$\therefore$    $\%=32\%$

Multiple choice 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

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

  1. $55\%$
  2. $56\%$
  3. $57\%$
  4. $58\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

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

$\Rightarrow$  $\%=(14\times 4)\%$

$\therefore$    $\%=56\%$

Multiple choice 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

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

  1. $35\%$
  2. $30\%$
  3. $25\%$
  4. $20\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

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

$\Rightarrow$  $\%=(15\times 2)\%$

$\therefore$    $\%=30\%$

Multiple choice 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

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.

  1. $25\%$
  2. $17\%$
  3. $10\%$
  4. $5\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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


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

Multiple choice 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

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?

  1. $10\%$
  2. $20\%$
  3. $30\%$
  4. $1\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $\dfrac{1}{10} \times 100 = 10\%$

Multiple choice 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

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?

  1. $11\%$
  2. $22\%$
  3. $33\%$
  4. $44\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
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.