Three friends arranged a party. Tanveer paid 2/3 as much as Yusuf paid. Yusuf paid 1/2 as much as Sachin paid. The fraction of the total expenditure by Yusuf was:

Correct option is B

Given:

Tanveer paid$$\frac{2}{3}$$​ as much as Yusuf:
T = $$\frac{2}{3}$$​Y
Yusuf paid $$\frac{1}{2}$$​as much as Sachin:
Y = $$\frac{1}{2}$$​S

Solution:

Let the amount paid by Sachin =S.

Let the amount paid by Yusuf = Y= 600

Let the amount paid by Tanveer = T.

According to question 

In condition T =$$\frac{2}{3}$$​Y put y =600 

T = 400

 In condition Y =$$\frac{1}{2}$$​S  put y =600

 S =1200

Total expenditure =S+Y+T

                                =1200+600+400=2200

Fraction of Yusuf in total expenditure = Yusuf amount/ total expenditure=  600/2200 =3/11