In an examination, there are three subjects of 100 marks each. A student scores 75% in the first subject and 86% in the second subject. He scored 68% in aggregate. His percentage of marks in the third subject is:

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Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 13 Jan 2023 Shift 2)

Answer 1

Given:

There are three subjects, each of 100 marks.

The student scored 75% in the first subject.

The student scored 86% in the second subject.

The student scored 68% in the aggregate (overall average).

Calculation:

Let's assume the score in the third subject is "x" (in percentage).

The aggregate percentage is calculated as the average of the scores in all three subjects.

Aggregate percentage = (Score in the first subject + Score in the second subject + Score in the third subject) / 3

68% = (75% + 86% + x)/3

Multiplying both sides of the equation by 3:

204% = 75% + 86% + x

Combining the percentages on the right-hand side:

204% = 161% + x

Now, subtract 161% from both sides of the equation:

204% - 161% = x

43% = x

Therefore, the student's percentage of marks in the third subject is 43%.