Question

The given pie chart shows marks scored by a student in different subjects in an examination.
If the total marks are 1000, then the difference of marks scored in mathematics and physics is

Answer 1

Given, the total marks are 1000.

Step 1: Fraction of mathematics marks out of the total marks $=\frac{{135}^{\circ }}{{360}^{\circ }}=\frac{3\times {45}^{\circ }}{8\times {45}^{\circ }}=\frac{3}{8}$

$\therefore \text{Marks scored in mathematics = Total number of marks}\times \text{Fraction of mathematics marks}$
$=1000\times \frac{3}{8}$
$=125\times 8\times \frac{3}{8}$
$=125\times 3$
$=375$

Step 2: Fraction of physics marks out of the total marks $=\frac{{45}^{\circ }}{{360}^{\circ }}=\frac{{45}^{\circ }}{8\times {45}^{\circ }}=\frac{1}{8}$

$\therefore \text{Marks scored in physics = Total number of marks}\times \text{Fraction of physics marks}$
$=1000\times \frac{1}{8}$
$=125\times 8\times \frac{1}{8}$
$=125$

Step 3: $\text{Difference of marks scored in mathematics and physics = Marks scored in mathematics -Marks scored in physics}$
$=375-125$
$=250$

Hence, the difference of marks scored in mathematics and physics is 250.