Rodrick mixes a martini that has a volume of ‘n’ ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5
Allegation Question of the Day
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C
C
c
C
Quantity of martini is given as ‘n’ in the problem,Quantity of gin that needs to be added(assume it is as x) can be found as follows:
Look it in terms of weighted average
60% of martini which weighs ‘n’ ounces when added with 100% of gin which weighs ‘x’ ounces gives a new mixture which has 75% of gin.
60n + 100x
———— = 75
n+x
Quantity of martini(n) 75 – 60 5
———————— = ——— = —-
Quantity of gin (x) 100- 75 3
x = 3n/5
Answer: (C)
ans-C
yup it’s (c) pretty straight forward i suppose
Option C