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 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?

1 : 6

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2 : 3

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1 : 4

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1 : 2

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Solution

The correct option is A 1 : 6
$\begin{matrix} F i n a n c e (150) & A c c o u n t s (400) S t u d e n t & T o t a l & I n t e r n a l & T o t a l & I n t e r n a l P e r c e n t a g e & M a r k s & P e r c e n t a g e & M a r k s & P e r c e n t a g e & M a r k s & P e r c e n t a g e & M a r k s S a c h i n & 25 & 37.5 & 10 & 4 & 25 & 100 & 10 & 10 A s h i s h & 10 & 15 & 0 & 0 & 20 & 80 & 5 & 4 T a n w i & 10 & 15 & 10 & 2 & 10 & 40 & 0 & 0 A n k i t & 5 & 7.5 & 10 & 1 & 10 & 40 & 10 & 4 R a m e s h & 20 & 30 & 10 & 3 & 30 & 120 & 25 & 30 S u r e s h & 30 & 45 & 5 & 3 & 5 & 20 & 10 & 2 \end{matrix}$

Let the total marks scored by all six students put together in Economics be 'x' and that in Accounts be 'y'.

Then the total marks scored by Sachin in Economics = $30 % o f x$
$∴$ Marks scored by Sachin in the internals of Economics = $20 % o f 30 % o f x = 0.06 x$
Similarly, the total marks scored by Ashish in Accounts = $20 % o f y$
$∴$ Marks scored by Ashish in the internals of Accounts = $5 % o f 20 % o f y = 0.01 y$
From the condition given in the question, both these marks are equal.
$∴ 0.06 x = 0.01 y$
$∴ x : y = 1 : 6$

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Similar questions

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?

\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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