Question

Nirmal got 95% marks in Mathematics, 75% marks in Hindi, 60% in English, 85%
in Science and 90% in Social Science. If each subject carries 100 marks, then find the
percentage of marks obtained by Nirmal in the aggregate of all the subjects.​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

Percentage in Maths : 95%

Percentage in Hindi : 75%

Percentage in English : 60%

Percentage in Science : 85%

Percentage in Social : 90%

Total marks of each subject : 100

To find :

The percentage obtained in all the subjects totally.

Solution :

First we should find the marks obtained in each subject.

Marks obtained in Mathematics :

$\sf \dashrightarrow 95\% \: of \: 100$

$\sf \dashrightarrow \dfrac{95}{100} \times 100$

$\sf \dashrightarrow \dfrac{19}{20} \times 100$

$\sf \dashrightarrow \dfrac{19 \times 100}{20} = \dfrac{1900}{20}$

$\sf \dashrightarrow \cancel \dfrac{1900}{20} = 95$

Marks obtained in Hindi :

$\sf \dashrightarrow 75\% \: of \: 100$

$\sf \dashrightarrow \dfrac{75}{100} \times 100$

$\sf \dashrightarrow \dfrac{3}{4} \times 100$

$\sf \dashrightarrow \dfrac{3 \times 100}{4} = \dfrac{300}{4}$

$\sf \dashrightarrow \cancel \dfrac{300}{4} = 75$

Marks obtained in English :

$\sf \dashrightarrow 60\% \: of \: 100$

$\sf \dashrightarrow \dfrac{60}{100} \times 100$

$\sf \dashrightarrow \dfrac{3}{5} \times 100$

$\sf \dashrightarrow \dfrac{3 \times 100}{5} = \dfrac{300}{5}$

$\sf \dashrightarrow \cancel \dfrac{300}{5} = 60$

Marks obtained in Science :

$\sf \dashrightarrow 85\% \: of \: 100$

$\sf \dashrightarrow \dfrac{85}{100} \times 100$

$\sf \dashrightarrow \dfrac{17}{20} \times 100$

$\sf \dashrightarrow \dfrac{17 \times 100}{20} = \dfrac{1700}{20}$

$\sf \dashrightarrow \cancel \dfrac{1700}{20} = 85$

Marks obtained in social :

$\sf \dashrightarrow 90\% \: of \: 100$

$\sf \dashrightarrow \dfrac{90}{100} \times 100$

$\sf \dashrightarrow \dfrac{9}{10} \times 100$

$\sf \dashrightarrow \dfrac{9 \times 100}{10} = \dfrac{900}{10}$

$\sf \dashrightarrow \cancel \dfrac{900}{10} = 90$

Now, we can find the total percentage.

Total percentage obtained :

$\sf \dashrightarrow \dfrac{Marks \: of \: all \: subjects}{Total \: marks} \times 100$

$\sf \dashrightarrow \dfrac{95 + 75 + 60 + 85 + 90}{500} \times 100$

$\sf \dashrightarrow \dfrac{405}{500} \times 100$

$\sf \dashrightarrow \cancel \dfrac{405}{5} = 81$

Hence, the percentage obtained by Normal totally is 82%.