Question

The given component bar diagram shows the percentage of marks obtained by a student in different subjects in a test; The height of the line AB from \[x\]-axis is

A. 21 cm approximately
B. 38 cm
C. 86 cm approximately
D. 48 cm

Answer 1

Hint: First we will first add the percentage of physics and mathematics to find the distance away from \[x\]-axis and then find the scale of \[1\% \] from the given condition. Then we will convert the percentage \[57\% \] into the centimeters using the obtained scale.

Complete step by step Answer:
We are given that the AB line is above physics and mathematics from the given diagram.

From the graph, we know that physics is \[25\% \] and mathematics is \[32\% \].

Adding the percentages of physics and mathematics to find it away from \[x\]–axis, we get
\[ \Rightarrow 25 + 32 = 57\% \]

We are given that scale is 2 cm for \[3\% \].

Finding the scale for \[1\% \].
\[ \Rightarrow 1\% = \dfrac{2}{3}{\text{ cm}}\]

Converting the percentage \[57\% \] into the centimeters using the above scale, we get
\[ \Rightarrow 57 \times \dfrac{2}{3} = 38{\text{ cm}}\]

Hence, option B is correct.

Note: In solving this type of question, the key concept is to use the given scale to find the scale for \[1\% \]. Some students multiply 3 cm by 2 to find the value of \[1\% \], which is wrong. One should now read the given pie properly to find the required answer.