Answer: Option D
:
D
Let the total marks scored by the six students in Economics, Finance and Accounts be x, y and z respectively.
$\therefore$The ratio of marks scored by Ankit in the Internals of these papers would be:
(30% of 10% of x) : (10% of 5% of y) : (10% of 10% of z) which would be the same as (0.03x):
(0.005y) : (0.01z) = (3x) : (0.5y) : (z)
But, (3x) : (0.5y) : (z) is equal to 9 : 3 : 4.
$\therefore$ 3x = 9, 0.5y = 3 and z = 4
$\therefore$ The ratio x : y : z would be equal to 3 : 6 : 4.
The marks scored by Sachin are 30%, 25%, and 25%, the ratio of marks would be 90 : 150 : 100,
i.e. 9 : 15 : 10.
Now, the marks scored by Sachin in Internals are 20%, 10% and 10%.
$\therefore$ Marks scored by him in Externals will be 80%, 90% and 90%.
$\therefore$ The required ratio would be (80% of 9) :(90% of 15) :(90% of 10), i.e. (7.2) : (13.5) : (9)
This ratio would be equal to 72 : 135 : 90 or 24 : 45 : 30