According to the marks obtained, what is Neeraj's percentage in his three best…

2024

According to the marks obtained, what is Neeraj's percentage in his three best subjects?

Answer: B. 81.67%ConceptWhen subjects have equal maximum marks, the percentage over selected subjects equals the total marks obtained divided by the total maximum marks,…

  1. A.

    80%

  2. B.

    81.67%

  3. C.

    81.33%

  4. D.

    80.66%

Attempted by 13 students.

Show answer & explanation

Correct answer: B

Concept

When subjects have equal maximum marks, the percentage over selected subjects equals the total marks obtained divided by the total maximum marks, multiplied by 100.

For the best k subjects, first select the k highest scores; then use only those scores in the percentage formula.

Application

  1. Neeraj's four scores are 86, 82, 75, and 77. The three highest are 86, 82, and 77.

  2. Their total is 86 + 82 + 77 = 245.

  3. The maximum total for three subjects is 3 × 100 = 300.

  4. Therefore, the percentage is (245 ÷ 300) × 100 = 81.666…%, which rounds to 81.67% to two decimal places.

Cross-check

Using the average gives the same result: 245 ÷ 3 = 81.666…, and because each subject is out of 100, this average is also the percentage. Hence the result is 81.67%.

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