On Monday, 150 customers visited a cafeteria. Each customer had

On Monday, 150 customers visited a cafeteria. Each customer had a drink, either hot or cold, from the choice of either coffee or tea or flavored milk. 2/5 of the customers had cold beverages, of which 20 had coffee and 25 had tea. The ratio of the number of customers who had cold tea to the number of customers who had cold coffee is equal to the ratio of the number of customers who had tea to the number of customers who had coffee. If none of the customers had hot flavored milk, what percent of the customers who had hot drinks had coffee?

(A) 100/9%
(B) 200/9%
(C) 300/9%
(D) 400/9%
(E) 500/9%

Solution:
Total No\umber of Customers = 150
Cold drink, C = 2/5*150 = 60
Hot Drink, H = 3/5*150 = 90

Cold Drinks = Cofee (K1) + Tea (T1) + Milk (M1)
Hold Drinks = Cofee (K2) + Tea (T2) + Milk (M2)

Out of 60 cold drinks, 20 had coffee (K1) and 25 (T1) had tea, therefore,
Therefore, Milk, M1 = 60-20-25 = 15 ;

The ratio of the number of customers who had cold tea to the number of customers who had cold coffee = T1/K1 = 25/20 = 5/4

As per question stem, this ratio is equal to the ratio of the number of customers who had tea to the number of customers who had coffee.
Therefore,
5/4 = (25+T2)/(20+K2)
This gives, K2/T2 = 4/5

Also, M2 = 0
K2+T2=90
Therefore, K2=40 and T2=50

The percent of the customers who had hot drinks had coffee = 40/90*100= 400/9%

IMO Option-D