Question

In a University examination, six students, Sachin, Ashish, Tanwi, Ankit, Ramesh and Suresh had written the following three papers, Economics, Finance and Accounts. The examination comprised of two parts, internals and externals. The table below shows the performance of each of these six students in this examination.

Part A: Indicates the total marks scored by the student in that paper as a percentage of the total marks of all the six students put together in that subject.

Part B: Indicates the marks scored by that student in internals as a percentage of total marks scored by that student in that subject.

From the table below it can be inferred that Sachin had obtained 30% of marks in Economics out of the total marks obtained by all the six students in Economics put together. Whereas out of the marks scored by him in Economics, the marks scored by him in Internals accounted for 20% of marks.
$\begin{array}{ccccccc}& Economics& & Finance& & Accounts& \\ & PartA& PartB& PartA& PartB& PartA& PartB\\ Sachin& 30& 20& 25& 10& 25& 10\\ Ashish& 10& 35& 10& 0& 20& 5\\ Tanwi& 15& 25& 10& 10& 10& 0\\ Ankit& 10& 30& 5& 10& 10& 10\\ Ramesh& 20& 40& 20& 10& 30& 25\\ Suresh& 15& 15& 30& 5& 5& 10\end{array}$


If the total marks scored by Ramesh in Economics and Accounts are the same, then for how many students from these six is the total marks scored in Economics more than twice the total marks scored by them in Accounts?

• A. 2
• B. 4
• C. 3

Answer 1

The correct option is A 2

$\begin{array}{ccccc}Student& Economics\left(300\right)& & Accounts\left(200\right)& \\ & Percentage& Marks& Percentage& Marks\\ Sachin& 30& 90& 25& 50\\ Ashish& 10& 30& 20& 40\\ Tanwi& 15& 45& 10& 20\\ Ankit& 10& 30& 10& 20\\ Ramesh& 20& 60& 30& 60\\ Suresh& 15& 45& 5& 10\end{array}$
In case of Ramesh, the marks scored by him in Economics, Finance and Accounts are $20\%,20\%and30\%$ respectively out of the total marks scored by all the students put together.

$\therefore 20\%$ of the total marks of all the students in Economics = $30\%$ of the total marks of all the students in Accounts.

$\therefore$ The ratio of the total marks scored by all six students put together in Economics to that of Accounts will be 3: 2.

For simplicity, assume that the total number of marks obtained by all of them in Economics be 300 and in Accounts be 200.
Now the results can be tabulated by taking the marks in the required ratio as shown above.
∴ there are only 2 students satisfying the criteria.