Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is
Explanation:
Let marks of Gautam be G.
∴ G + (62 × 21) = T ...(I) (where T is the total marks of all 22 students)
82.5 + (21 × x) = T ...(II) (where x is the average marks of 21 students other than Ramesh)
The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh.
∴ (T/22) = 1 + x ...(III)
Solving (I), (II) and (III), we get; x = 60.5, T = 1353 and G = 51.
Hence, option (b).
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