In an examination, Rama's score was one-twelfth of the sum of the scores of…

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In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11:10:3. Then Anjali's score exceeded Rama's score by

  1. A.

    26

  2. B.

    32

  3. C.

    24

  4. D.

    35

Attempted by 21 students.

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Correct answer: B

It is given that the scores of Anjali, Mohan and Rama after review were in the ratio 11: 10: 3

So, let their values be 11x, 10x and 3x respectively.

It is known that their score increased by 6 after review.

So, scores before review = 11x-6, 10x-6 and 3x-6 respectively

Now, from the data given

(11x - 6 + 10x - 6) x 1/12 = 3x - 6

21x - 12 = 36x - 72

60 = 15x

x = 4

So, marks after revision are 44, 40 and 12 respectively.

Therefore, Anjali's score exceeded Rama's by 44 - 12 = 32 marks

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