Tag: converting a fraction or decimal to percentage

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Questions Related to converting a fraction or decimal to percentage

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

$150$ is what percent of $30$?

  1. $5\%$
  2. $20\%$
  3. $50\%$
  4. $200\%$
  5. $500\%$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let the percentage be $x$.

$\dfrac {100\%}{x\%}=\dfrac {30}{150}$
$\Rightarrow \dfrac {100}{x}\times x=\dfrac {30}{150}\times x$ .... Multiply both sides by $x$
$\Rightarrow 100=0.2x$
$\Rightarrow x=500$
Thus, $150$ is $500\%$ of $30$.

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

If A exceeds B by $40$ %, B is less than C by $20$% , then A : C is :

  1. $28:25$
  2. $26:25$
  3. $283:251$
  4. $287:254$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\Rightarrow$  Let $C = 100.$

$\Rightarrow$   So B = 20% less than C or 80% of C = $\dfrac{80}{100}\times 100=80$
$\Rightarrow$  So, A = B + 40% of B
$\Rightarrow$   $A=80+80\times \dfrac{40}{100}=112$

$\therefore$   $A:C=\dfrac{A}{C}=\dfrac{112}{100}=\dfrac{28}{25}$

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

What percentage is equivalent to $\dfrac {5}{8}$ ?

  1. $62.5\%$
  2. $60.5\%$
  3. $625\%$
  4. $60\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We have to find percentage of $\dfrac{5}{8}$

We know $\text{Percentage} = \dfrac{5}{8}\times 100$
Therefore, $\text{Percentage} = \dfrac{500}{8}=62.5\%$

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

Amar wrote exams in four subjects-Physics, Chemistry, Biology and Social Studies. The ratio of marks he got in these exams was $2:3:4:5$. He got an aggregate of 70% in these exams. Each exam had the same maximum marks. In how many of these exams did he get more than 50%?

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

Let the maximum marks of each subject $= y$

Let the marks scored in Physics, Chemistry, Biology and social studies be $2x, \,3x, \,4x$ and $5x$.
Now, total marks scored in all 4 subjects $2x+3x+4x+5x = 14x$
Total maximum marks of all 4 subjects $=4y$
Now according to question:
$\left(\dfrac{14x}{4y}\times 100\right)\% = 70\%$
$\Rightarrow \dfrac{14x}{4y}\times 100 = 70$
$\Rightarrow y = 5x$
$\%$ age of marks scored in Physics $=\left(\dfrac{2x}{5x} \times 100\right)\% = 40\%$ 
$\%$ age of marks scored in Chemistry $=\left(\dfrac{3x}{5x} \times 100\right)\% = 60\%$ 
$\%$ age of marks scored in Biology $=\left(\dfrac{4x}{5x} \times 100\right)\% = 80\%$
$\%$ age of marks scored in Social Studies $=\left(\dfrac{5x}{5x} \times 100\right)\% = 100\%$  
So, he got more than $50\%$ in Chemistry, Biology and Social Studies.
Hence, the answer is $3$.

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

270 candidates appeared for an examination, of which 252 passed. The pass percentage is? 

  1. $80 \%$
  2. $83 \frac { 1 } { 2 } \%$
  3. $90 \frac { 1 } { 3 } \%$
  4. $93 \frac { 1 } { 3 } \%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total candidates = 270

Passes candidates = 252
Passed percentage = $\dfrac{252}{270} \times 100\%=93.33\%=93\dfrac{1}{3}\%$

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

Which one of the following shows the best percentage? 

  1. $\dfrac { 384 } { 540 }$
  2. $\dfrac { 425 } { 500 }$
  3. $\dfrac { 570 } { 700 }$
  4. $\dfrac { 480 } { 660 }$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
$(a)\dfrac{384}{540}=\dfrac{384}{540}\times 100\%=71\dfrac{1}{9}\%$

$(b)\dfrac{425}{500}=\dfrac{425}{500}\times 100\%=85\%$

$(c)\dfrac{570}{700}=\dfrac{570}{700}\times 100\%=81\dfrac{3}{7}\%$

$(d)\dfrac{480}{660}=\dfrac{480}{660}\times 100\%=72\dfrac{8}{11}\%$

$\dfrac{425}{500}$ shows the best percentage.
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

What percent of a day is 3 hours? 

  1. $12 \frac { 1 } { 2 } \%$
  2. $16 \frac { 1 } { 3 } \%$
  3. $18 \frac { 2 } { 3 } \%$
  4. $22 \frac { 1 } { 2 } \%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

No . of hours in a day $24hours$

Percentage of $3$ hrs is given as 

$\dfrac{3}{24}\times 100$

$\dfrac 18\times 100=12\frac 12\%$