Tag: conversion of fraction, decimal to percent

Questions Related to conversion of fraction, decimal to 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.