In a certain code language, 'VIRTUE' is coded as '201' and 'TRAGEDY'…

Given; In a certain code language, 'VIRTUE' is coded as '201' and 'TRAGEDY' is coded as '218'. 

The logic followed here is;

(The sum of alphabets in the opposite value x no. of vowels in the word

=> VIRTUE is coded as 201

=> No. of vowels = 03

           opposite place value

V(22)        5

I(9)          18

R(8)          9

T(20)        7

U(21)        6

E(5)         22

So, 5+18+9+7+6+22 = 67 x 3(no. of vowels)

Thus, 201

Similarly,

=> PROFANE is coded as (?)

=> No. of vowels = 03

           opposite place value

P(16)        11

R(18)         9

O(15)        12

F(6)          21

A(1)          26

N(14)        13

E(5)          22

So, 11+9+12+21+26+13+22 = 144 x 3(no. of vowels)

Thus, 342