Question

A boy got $60$ out of $80$ in Hindi, $75$ out of $100$ in English and $65$ out of $70$ in Arithmetic. In which subject his percentage of marks the best? Also, find his overall percentage.

Answer 1

Step $1$ : Finding percentage of Hindi, English and Arithmetic separately

Given,
A boy got $60$ out of $80$ in Hindi, $75$ out of $100$ in English and $65$ out of $70$ in Arithmetic.
Now,
Marks obtained in Hindi out of $80=60$ marks.
So, his percentage in Hindi $=\frac{60}{80}\times 100\%$
$=\frac{600}{8}=75\%$
Marks obtained in English out of $100=75$ marks.
So, his percentage in English
$=\frac{75}{100}\times 100\%=75\%$
Marks scored in Arithmetic out of $70=65$ marks.
So, his percentage in Arithmetic
$=\frac{65}{70}\times 100\%=\frac{650}{7}\%=92\frac{6}{7}\%$
Clearly, it shows that he gets best marks in Arithmetic.

Step $2$ : Finding overall percentage

Total marks of all the three subjects $=80+100+70=250$.
Total marks obtained in all the three subjects
$=60+75+65=200$ marks.
So, overall percentage $=\frac{200}{250}\times 100\%$
$=\frac{4}{5}\times 100=80\%$

Hence, in the arithmetic subject his percentage of marks are the best and his overall percentage is $80\%$.