Since first and second varieties are mixed in equal proportions.
So, their average price = Rs.
126 + 135
= Rs. 130.50
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of alligation, we have:
Cost of 1 kg of 1st kindCost of 1 kg tea of 2nd kind
Mean Price Rs. 153
(x - 153)
x - 153
x - 153 = 22.50
x = 175.50
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Suppose the can initially contains 7x and 5x of mixtures A and B respectively.
Quantity of A in mixture left =
Quantity of B in mixture left =
28x - 21
20x + 21
252x - 189 = 140x + 147
112x = 336
x = 3.
So, the can contained 21 litres of A.
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
C.P. of 1 kg sugar of 1st kindCost of 1 kg sugar of 2nd kind
Mean Price Rs. 8.40
Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.
Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.
Then, 7 : 3 = x : 27
7 x 27
= 63 kg.
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:
Let the price of the mixed variety be Rs. x per kg.
By rule of alligation, we have:
Cost of 1 kg of Type 1 riceCost of 1 kg of Type 2 rice
Mean Price Rs. x
(20 - x)
(x - 15)
(20 - x)
(x - 15)
60 - 3x = 2x - 30
5x = 90
x = 18.
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?