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.
$\begin{matrix} E c o n o m i c s & F i n a n c e & A c c o u n t s P a r t A & P a r t B & P a r t A & P a r t B & P a r t A & P a r t B S a c h i n & 30 & 20 & 25 & 10 & 25 & 10 A s h i s h & 10 & 35 & 10 & 0 & 20 & 5 T a n w i & 15 & 25 & 10 & 10 & 10 & 0 A n k i t & 10 & 30 & 5 & 10 & 10 & 10 R a m e s h & 20 & 40 & 20 & 10 & 30 & 25 S u r e s h & 15 & 15 & 30 & 5 & 5 & 10 \end{matrix}$

If Suresh had scored 20 marks in Accounts and 45 marks in Finance, then the marks scored by all six students in internals of these 2 subjects would be __________. (All marks, at all stages of evaluation, have to be integers. So, round off any decimal to the next higher number)

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Solution

The correct option is A 63
$\begin{matrix} F i n a n c e (150) & A c c o u n t s (400) S t u d e n t & T o t a l & I n t e r n a l & T o t a l & I n t e r n a l P e r c e n t a g e & M a r k s & P e r c e n t a g e & M a r k s & P e r c e n t a g e & M a r k s & P e r c e n t a g e & M a r k s S a c h i n & 25 & 37.5 & 10 & 4 & 25 & 100 & 10 & 10 A s h i s h & 10 & 15 & 0 & 0 & 20 & 80 & 5 & 4 T a n w i & 10 & 15 & 10 & 2 & 10 & 40 & 0 & 0 A n k i t & 5 & 7.5 & 10 & 1 & 10 & 40 & 10 & 4 R a m e s h & 20 & 30 & 10 & 3 & 30 & 120 & 25 & 30 S u r e s h & 30 & 45 & 5 & 3 & 5 & 20 & 10 & 2 \end{matrix}$
Suresh scoring 20 marks in Accounts implies that the total marks scored by all six students put together would be 400 as his marks constituted $5 %$ of the total marks.

Similarly, the total marks scored by all six students put together in Finance would be 150 as his marks constituted $30 %$ of the total marks.
The results can be tabulated as shown above.
$∴$ The total marks scored by all six students in the internals of Finance are 13 and that in
Accounts is 50.
$∴$ The required total is 63.

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Q. 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{matrix} E c o n o m i c s & F i n a n c e & A c c o u n t s P a r t A & P a r t B & P a r t A & P a r t B & P a r t A & P a r t B S a c h i n & 30 & 20 & 25 & 10 & 25 & 10 A s h i s h & 10 & 35 & 10 & 0 & 20 & 5 T a n w i & 15 & 25 & 10 & 10 & 10 & 0 A n k i t & 10 & 30 & 5 & 10 & 10 & 10 R a m e s h & 20 & 40 & 20 & 10 & 30 & 25 S u r e s h & 15 & 15 & 30 & 5 & 5 & 10 \end{matrix}

If, in the case of Ramesh, the marks scored by him in Externals in Finance is less than that scored by him in Economics and Accounts, then what is the ratio of total marks scored by all students in Finance put together to the total marks scored by all six students in all the subjects put together?

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.
$\begin{matrix} E c o n o m i c s & F i n a n c e & A c c o u n t s P a r t A & P a r t B & P a r t A & P a r t B & P a r t A & P a r t B S a c h i n & 30 & 20 & 25 & 10 & 25 & 10 A s h i s h & 10 & 35 & 10 & 0 & 20 & 5 T a n w i & 15 & 25 & 10 & 10 & 10 & 0 A n k i t & 10 & 30 & 5 & 10 & 10 & 10 R a m e s h & 20 & 40 & 20 & 10 & 30 & 25 S u r e s h & 15 & 15 & 30 & 5 & 5 & 10 \end{matrix}$

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?

\begin{matrix} E c o n o m i c s & F i n a n c e & A c c o u n t s P a r t A & P a r t B & P a r t A & P a r t B & P a r t A & P a r t B S a c h i n & 30 & 20 & 25 & 10 & 25 & 10 A s h i s h & 10 & 35 & 10 & 0 & 20 & 5 T a n w i & 15 & 25 & 10 & 10 & 10 & 0 A n k i t & 10 & 30 & 5 & 10 & 10 & 10 R a m e s h & 20 & 40 & 20 & 10 & 30 & 25 S u r e s h & 15 & 15 & 30 & 5 & 5 & 10 \end{matrix}

If the ratio of marks obtained by Ankit in the internals of all three subjects (Economics, Finance and Accounts) in that order is 9:3: 4, then what was the ratio of marks scored by Sachin in the externals of those three subjects in the same order?

If the marks scored by Sachin in the internals of Economics are same as that scored by Ashish in the internals of Accounts, then what is the ratio of the total marks scored by all six students in Economics put together to that scored in Accounts put together?

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