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Vishal attempted yearly exams in his school, which included exams of five subjects - English, Hindi, Maths, History, and Science. It is known that every exam was of 100 marks. Vishal scored a total of 81% marks in the yearly exams. He scored a total of 90 marks in English. His maths' score was (2/3)rd the marks in English, and he scored (5/6)th of the marks he scored in English in his Hindi Exam. Also, the difference between the marks in History and Science is 10, where he scored more in Science. Find out the average of marks in Science and History, scored by Vishal.

Vishal attempted yearly exams in his school, which included exams of five subjects - English, Hindi, Maths, History, and Science. It is known that every exam was of 100 marks. Vishal scored a total of 81% marks in the yearly exams. He scored a total of 90 marks in English. His maths' score was (2/3)rd the marks in English, and he scored (5/6)th of the marks he scored in English in his Hindi Exam. Also, the difference between the marks in History and Science is 10, where he scored more in Science. Find out the average of marks in Science and History, scored by Vishal. Correct Answer 90

Given:

Total number of Subjects = 5

Maximum marks in each subject = 100

Percentage of marks scored by Vishal in all the subjects together = 81%

Marks scored in English = 90

Marks scored in Maths = (2/3)th of the marks in English

Marks scored in Hindi = (5/6)th of the marks in English

Difference between the marks scored in Science and History = 10

Concept Used:

Percentage of marks scored = (Total marks scored in all the subjects together/Maximum possible marks) × 100

Calculation:

Let the marks scored by Vishal in History = x,

∵ The marks scored in Science are 10 more than that in History,

The marks scored in Science = x + 10,

Marks scored in English = 90,

Marks scored in Maths = (2/3) × 90 = 60,

Marks scored in Hindi = (5/6) × 90 = 75,

∵ There are total of 5 subjects and each subject has a maximum of 100 marks,

The total maximum marks in all the subjects together = 5 × 100 = 500

Given that the percentage of marks scored by Vishal in all the subjects together = 81%, 

we use the relation for percentages as follows: - 

81 = {/500} × 100

⇒ 81 = (2x + 235)/5

⇒ 81 × 5 = 2x + 235

⇒ 405 = 2x + 235

⇒ 2x = 405 - 235

⇒ x = 170 / 2

⇒ x = 85

The marks scored by Vishal in History = 85, 

and the marks scored in Science = 85 + 10 = 95.

∴ The average of the marks scored by Vishal in History and Science = (85 + 95)/2 = 90

∴ The average of the marks scored by Vishal in History and Science is 90.

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