The average of the marks of Ram, Ramesh, Somesh and Soham in mathematics is 75, and the average of the marks of Ramesh, Somesh, Soham and Mohan in mathematics is 80. The marks scored by Mohan alone in mathematics is 70. Find the marks scored by Ram alone in mathematics.

Correct option is A

Given:

Average marks of Ram,Ramesh,Somesh and Soham in mathematics =75

Average marks of Ramesh,Somesh, Soham and Mohan in mathematics =80

Marks scored by Mohan alone = 70

Formula Used:

​$$Average = \frac{Sum\ of \ observations}{Number\ of\ observations}$$​​

Solution:

Total marks of Ramesh, Somesh, Soham and Mohan in mathematics =$$80 \times 4$$​ = 320

Marks scored by Mohan alone = 70

Marks scored by Soham, Somesh and Ramesh = 320 -70 = 250

Total marks of Ram,Ramesh,Somesh and Soham in mathematics =$$75 \times 4$$​= 300

Marks scored by Soham, Somesh and Ramesh = 250

Marks scored by Ram = 300-250 = 50