Question

The following pie chat gives the marks second in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the student were $540$ answer the following questions. All values are shown in degrees.
How many more marks were obtained by the student in Mathematics than in Hindi?

Answer 1

Total marks obtained by students $=540$

$Subject$	$Angle$	$Fraction=\frac{Angle}{{360}^o}$	$Marksobtained$ $=Fraction\times 540$
$Mathematics$	${90}^o$	$\frac{{90}^o}{{360}^o}=\frac{1}{4}$	$\frac{1}{4}\times 540=135$
$English$	${55}^o$	$\frac{{55}^o}{{360}^o}=\frac{11}{72}$	$\frac{11}{72}\times 540=82.5$
$Hindi$	${70}^o$	$\frac{{70}^o}{{360}^o}=\frac{7}{36}$	$\frac{7}{36}\times 540=105$
$Science$	${80}^o$	$\frac{{80}^o}{{360}^o}=\frac{2}{9}$	$\frac{2}{9}\times 540=120$
$Socialscience$	${65}^o$	$\frac{{65}^o}{{360}^o}=\frac{13}{72}$	$\frac{13}{72}\times 540=97.50$

From above table,

$\Rightarrow$ Marks scored in Mathematics $=135$

$\Rightarrow$ Marks scored in Hindi $=105$

$\Rightarrow$ Difference in marks $=135-105=30$

$\therefore$ Students obtained $30$ more marks in Mathematics that in Hindi.