Question

Which of the following models represent 25%?

• A. Model C
• B. Model D
• C. Model A
• D. Model B

Answer 1

The correct option is B Model D

$Fractionofcoloredpart=\frac{Numberofcoloredblocks}{Totalnumberofblocks}$

We know, to convert a fraction into percentage, we have to make the denominator of the fraction equal to 100.

So, for model A, we get:


Total number of blocks = 25
Number of colored blocks = 20

$\therefore Fractionofcoloredpart=\frac{20}{25}$

$\therefore Percentageofcoloredpartwillbe:$
$=\frac{20\times 4}{25\times 4}=\frac{80}{100}=80\%$


Similarly, for model B:


Total number of blocks = 30
Number of colored blocks = 12

$\therefore Fractionofcoloredpart=\frac{12}{30}$

$\therefore Percentageofcoloredpartwillbe:$
$=\frac{12÷6}{30÷6}=\frac{2}{5}=\frac{2\times 20}{5\times 20}=\frac{40}{100}=40\%$


For model C:


Total number of blocks = 20
Number of colored blocks = 10
$\therefore Fractionofcoloredpart=\frac{10}{20}$

$\therefore Percentageofcoloredpartwillbe:$
$=\frac{10\times 5}{20\times 5}=\frac{50}{100}=50\%$


Finally, for model D:


Total number of blocks = 40
Number of colored blocks = 10

$\therefore Fractionofcoloredpart=\frac{10}{40}$

$\therefore Percentageofcoloredpartwillbe:$
$=\frac{10÷10}{40÷10}=\frac{1}{4}=\frac{1\times 25}{4\times 25}=\frac{25}{100}=25\%$

So, the model that represents 25% is model D.