Alligations or Mixture

51 A sum of ₹ 390 was divided among 450 boys and girls. Each girl gets 50 paise and each boy gets one rupee. How many girls are there among them?

52 How many kilograms of tea worth ? 25 per kg must be blended with 30 kg of tea worth ? 30 per kg, so that by selling the blended variety at ? 30 per kg, there should be a gain of 10%?

53 6 kg of ₹ 8/kg wheat is mixed with 3 kg of another type of wheat to get a mixture costing ₹ 10/kg. Find the price of the costlier wheat:

154 3L of milk are drawn from a container containing 30L of milk. It is replaced by water and the process is repeated 2 times. What is the ratio of milk to water at the end?

55 An amount of ₹ 70,000 was lent at 6% per annum and the remaining at 4% per annum. If the total simple interest from both the fractions in 5 years was ₹ 16000, the sum lent at 6% per annum was

56 A milkman purchases milk at ₹ 20/litre and mixes 4 litres of water in it. By selling the resultant mixture at the rate of ₹ 20/litre, he earns a profit of 40%. The amount of mixture he had with him to sell was:

57 A bottle full of whisky contains 50% alcohol. A part of this whisky is replaced by another containing 18% alcohol and the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

58 Tea worth ₹ 126/kg and ₹ 135/kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth ₹ 153/kg, the price of the third variety/kg will be

59 A container is filled with liquid, 6 part of which are water and 10 part milk. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half milk?

60 A mixture of 100 litres of spirit and alcohol contains 25% alcohol. How much more alcohol should be added to the mixture to increase the percentage of alcohol to 30% in the new mixture?