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

$150$ 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 

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

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