Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Answer: D
Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres
Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres
As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 4.75 : 1.25 = 19 : 5.
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Rajesh has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Rajesh spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Rajesh add?
Answer: C
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The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
Answer: A
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Chandan buys some sugar at Rs. 15 per kg. He mixes it with sugar having price Rs. 18 per kg. The final mixture becomes worth Rs. 16 per kg. What is the ratio of quantities of type 1 sugar to type 2 sugar?
Answer: A
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One glass has juice and water in the ratio 5:2 while other glass has them in ratio 7:4, respectively. If both glasses poured in a vessel, then what will be final ratio of water to juice in the vessel?
Answer: D
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Vessel ‘A’ contains 150 liters of mixture of milk and water in the ratio of 3:1. Vessel ‘B’ contains 200 liters of the mixture in the ratio of 5:2. If the mixture from both the vessels are poured into vessel ‘C’, find the ratio of the resulting mixture.
Answer: D
As vessel A contains 150 liters of mixture of milk and water in the ratio 3:1, the quantity of milk is 3 × 150/4 liters, and
that of water is 150/4 liters.
Similarly, as vessel B contains 200 liters of mixture of milk and water in the ratio 5:2, the quantity of milk is 5 × 200/7,
and that of water is 2 × 200/7 liters.
After mixing the total quantity is 350 liters.
The quantity of milk is {(3 × 150/4) + (5 × 200/7)} = 7150/28
The quantity of water is {(150/4) + (2 × 200/7)} = 2650/28
The ratio of the resulting mixture = 7150/2650 = 143 : 53
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The ratio in which the price at Rs.7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs.6.30 a kg is:
Answer: A
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Ramesh mixes 60 liters of Type-1 acid with some liters of Type-2 acid. Type-1 acid rate is Rs. 32 per litre while Type-2 rate is Rs. 23 per liter. Ramesh sells this acid-mix at rate Rs. 28 per liter. How much Type-2 acid is needed to make it a no profit no loss transaction?
Answer: A
Let Type-2 acid quantity be T liters.
Final mixture has '60+T' liters
There is no profit no less
So, (Type-I quantity × rate) + (Type-2 quantity × rate) — Mix quality × rate
60 × 32 +T × 23 × 28
T = 48 liters = Type-2 acid quantity
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A container contains 30 liters of milk. From this container 5 liter 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?
Answer: C
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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?
Answer: C
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