Question

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?

• A. 1:6
• B. 1:9
• C. 6:1
• D. 9:1

Answer 1

The correct option is A 1:6

Let the total marks scored by an Six students put together in Economics be 'x' and that in Accounts be 'y'

Then the total marks scored by sachin in Economics = 30% of x

$\therefore$ Marks scored by Sachin in the internals of Economics = 20% of 30% of x = 0.06x

Similarly, the total marks scored by Ashish in Accounts = 20% of y

$\therefore$ Marks scored by Ashish in the internals of Accounts = 5% of 20% of y = 0.01y

From the condition given in the question, both these marks are equal.
$\therefore$ 0.06x = 0.01y
$\therefore$ x : y = 1 : 6