A sum of the amount Rs. ‘Z’ distributed in 4 persons X, B, E and K. Ratio of the amount received by X to B is 2:3 and B to E is 2:1 and K received 120% of the total amount received by B. if the difference between the amount received by K and E is Rs.1890, then find the value of ‘Z’ (in Rs.)

Correct option is D

Let ratio of the amount received by X to B = 2:3
And ratio of the amount received by B to E = 2:1
Ratio of the amount received by X, B and E = 4:6:3 = 4x:6x:3x(Let)
The amount received by K = 6x×120/100=7.2x
ATQ.
7.2x-3x=1890
x=450
Value of Z = 4x+6x+3x+7.2x=20.2x
=450×20.2
= 9090