In what ratio two varieties of tea, one costing Rs. 25 per kg and the other costing Rs. 30 per kg should be blended to produce blended variety of tea worth Rs. 28 per kg?
(a) 3 : 4
(b) 4 : 3
(c) 2 : 3
(d) 3 : 5
(e) None of the above
Answers
Suppose a container contains
x units of a liquid from which y units are taken out and replaced by water. After n operations, quantity of pure liquid = x ( 1 − y x ) n units. option B
Answer:
the ratio of both the tea in the mixture will be option c) 2 : 3
Step-by-step explanation:
Let the amount of Rs 25 /kg tea in the mixture = x kg
=> cost of Rs 25 /kg tea in the mixture = 25x
Let the amount of Rs 30 /kg tea in the mixture = y kg
=> cost of Rs 30 /kg tea in the mixture = 30y
Net cost of the mixture = 25x + 30y
Net weight of the mixture = x + y kg
=> cost of mixture per kg = (25x + 30y)/(x+y)
=> 28 = (25x + 30y)/(x+y)
=> 28x + 28y = 25x + 30y
=> 3x = 2y
=> x/y = 2/3
=> x : y = 2 : 3
Hence the ratio of both the tea in the mixture will be option c) 2 : 3