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Two vessels contain a mixture of spirit and water. In the first vessel the ratio of spirit to water is 8: 3 and in the second vessel the ratio is 5: 1. A 35 litre cask is filled from these vessels so as to contain a mixture of spirit and water in the ratio of 4: 1 . How many liters are taken from the first vessel?

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Important Questions on Alligations

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There are two mixtures of milk and water, the quantity of milk in them being 20% and 80% of the mixture. If 2 liters of the first are mixed with three liters of the second, what will be the ratio of milk to water in the new mixture?
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There are two kinds of alloys of silver and copper.The first alloy contains silver and copper such that 93.33% of it is silver. In the second alloy there is 86.66% silver. What weight of the first alloy should be mixed with the some weight of the second alloy as to make a 100 kg mass containing 90% of silver?
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Two buckets of equal capacity are full of a mixture of milk and water. In the first, the ratio of milk to water is 1: 7 and in the second it is 3: 8. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of milk to water?
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A bag contains a total of 105 coins of ₹1, 50p and 25p denominations. Find the total no. of coins of Rs. 1 if there are a total of 50.5 rupees in the bag and it is also known that the number of 25 paise coins are 133.33% more than the no. of 1 rupee coins.
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Two vessels contain spirit and water mixed respectively in the ratio of 1:4 and 4:1. Find the ratio in which these are to be mixed to get a new mixture in which the ratio of spirit to water is 1:3.
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The price of table chair is 3000. The table was sold at a 20% profit and the chair at a 10% loss. If in the transaction a man gains 300,how much is cost price in  of the table ?
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A person purchased a pen and a pencil for 15. He sold the pen at a 20% profit and the pencil at a 30% profit. If his total profit was 24%, find the cost price of the pen ?
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A container is full of mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessels is filled with petrol. If the kerosene is now 15%. How much does the container hold?