Pie chart given below shows the percentage distribution of marks obtained in maths out of total marks obtained by five students (i.e., A, B, C, D and E) of a class in math. There are only three subjects in class i.e. (Hindi, English and Math) .

If marks obtained by A in math out of total marks obtained by five students in math is 135, then find marks obtained by C in math?

The correct answer is 84.

Step-by-step breakdown:

From the given pie chart, we can extract the percentage distribution of marks obtained in math by five different students (A, B, C, D, and E):

• Student A (Red sector): 22.5%
• Student B (Yellow sector): 30.5%
• Student C (Grey sector): 14%
• Student D (Green sector): 18%
• Student E (Blue sector): 15%

Step 1: Find the total marks obtained by all five students in math.

It is given that student A's share of math marks is 135.

According to the pie chart, student A accounts for 22.5% of the total math marks.

Let the total marks obtained by all five students in math be $T$.

$22.5\%\text{ of }T=135$

$\frac{22.5}{100}\times T=135$

$T=\frac{135\times 100}{22.5}$

$T=600$

So, the total marks obtained by all five students in math is 600.

Step 2: Calculate the marks obtained by student C in math.

From the pie chart, the percentage share of student C in math marks is 14%.

$\text{Marks obtained by C}=14\%\text{ of }600$

$\text{Marks obtained by C}=\frac{14}{100}\times 600=14\times 6=84$

Thus, the marks obtained by C in math is 84.