50 Mixtures and Allegation

50 Mixtures and Allegation

1. An alloy contains Copper, Zinc, and Nickel in the ratio 4 : 3 : 2. How many kilograms of Nickel must be added to 90 kg of this alloy so that the new ratio becomes 12 : 9 : 8?
2. A mixture contains Milk, Water, and Cream in the ratio 5 : 4 : 3. How much Cream should be added to 120 kg of the mixture so that the new ratio becomes 10 : 8 : 9?
3. An alloy contains Gold, Silver, and Copper in the ratio 6 : 5 : 4. How many kilograms of Copper must be added to 150 kg of the alloy to make the new ratio 12 : 10 : 11?
4. A chemical mixture contains Acid A, Acid B, and Water in the ratio 7 : 4 : 3. How much Water should be added to 140 kg of the mixture so that the new ratio becomes 14 : 8 : 9?
5. An alloy contains Iron, Chromium, and Nickel in the ratio 8 : 5 : 3. How many kilograms of Nickel must be added to 160 kg of the alloy so that the new ratio becomes 16 : 10 : 9?
6. An alloy contains Copper, Zinc, and Nickel in the ratio 3 : 2 : 1. If 20 kg of Nickel is added to 120 kg of the alloy, find the new ratio of Copper : Zinc : Nickel.
7. A mixture contains Red, Blue, and Green paint in the ratio 4 : 3 : 2. How much Green paint must be added to 180 kg of the mixture so that the ratio becomes 8 : 6 : 7?
8. An alloy contains Aluminium, Copper, and Magnesium in the ratio 9 : 5 : 4. How much Magnesium should be added to 180 kg of the alloy so that the new ratio becomes 18 : 10 : 11?
9. A solution contains Sugar, Water, and Flavor in the ratio 5 : 8 : 2. How much Flavor must be added to 150 kg of the solution to make the new ratio 10 : 16 : 7?
10. An alloy contains Lead, Tin, and Antimony in the ratio 11 : 7 : 2. How many kilograms of Antimony should be added to 200 kg of the alloy so that the new ratio becomes 22 : 14 : 9?
11. 11. An alloy contains Copper, Zinc, and Nickel in the ratio 7 : 5 : 4. How many kilograms of Zinc must be added to 960 kg of this alloy so that the new ratio becomes 21 : 19 : 12?
12. 12. An alloy contains Copper, Zinc, and Nickel in the ratio 6 : 4 : 5. How many kilograms of Zinc must be added to 1500 kg of this alloy so that the new ratio becomes 18 : 16 : 15?
13. 13. An alloy contains Copper, Zinc, and Nickel in the ratio 8 : 3 : 5. How many kilograms of Zinc must be added to 1280 kg of this alloy so that the new ratio becomes 24 : 13 : 15?
14. 14. An alloy contains Copper, Zinc, and Nickel in the ratio 9 : 7 : 4. How many kilograms of Zinc must be added to 1000 kg of this alloy so that the new ratio becomes 27 : 25 : 12?
15. 15. An alloy contains Copper, Zinc, and Nickel in the ratio 11 : 6 : 3. How many kilograms of Zinc must be added to 1400 kg of this alloy so that the new ratio becomes 33 : 24 : 9?
16. A 180 litre mixture contains milk and water in the ratio 4 : 1. How much water must be added so that the new ratio of milk to water becomes 3 : 2?
17. A 240 litre mixture contains milk and water in the ratio 7 : 1. How much water must be added so that the new ratio of milk to water becomes 7 : 3?
18. A 300 litre mixture contains milk and water in the ratio 5 : 2. How much water must be added so that the new ratio of milk to water becomes 5 : 4?
19.  A 420 litre mixture contains milk and water in the ratio 6 : 1. How much water must be added so that the new ratio of milk to water becomes 3 : 1?
20.  A 360 litre mixture contains milk and water in the ratio 8 : 1. How much water must be added so that the new ratio of milk to water becomes 2 : 1?
21. A 540 litre mixture contains milk and water in the ratio 9 : 1. How much water must be added so that the ratio becomes 3 : 1?
22.  A 480 litre mixture contains milk and water in the ratio 11 : 1. How much water must be added so that the ratio becomes 11 : 5?
23. A 600 litre mixture contains milk and water in the ratio 14 : 1. How much water must be added so that the ratio becomes 7 : 2?
24.  A 270 litre mixture contains milk and water in the ratio 8 : 2. How much water must be added so that the ratio becomes 4 : 3?
25. A 450 litre mixture contains milk and water in the ratio 5 : 1. How much water must be added so that the ratio becomes 5 : 3?
26.  A 150 litre mixture contains juice and water, where water is 12% of the mixture. How much water must be added so that water becomes 30% of the new mixture?
27. A 200 litre mixture contains milk and water, where water is 15% of the mixture. How much water must be added so that water becomes 35% of the new mixture?
28.  A 250 litre mixture contains wine and water, where water is 8% of the mixture. How much water must be added so that water becomes 25% of the new mixture?
29. 29. A 180 litre mixture contains syrup and water, where water is 20% of the mixture. How much water must be added so that water becomes 40% of the new mixture?
30. 30. A 300 litre mixture contains oil and water, where water is 10% of the mixture. How much water must be added so that water becomes 28% of the new mixture?
31.  A 400 litre mixture contains milk and water, where water is 18% of the mixture. How much water must be added so that water becomes 42% of the new mixture?
32.  A 500 litre mixture contains wine and water, where water is 14% of the mixture. How much water must be added so that water becomes 32% of the new mixture?
33.  A 350 litre mixture contains juice and water, where water is 16% of the mixture. How much water must be added so that water becomes 36% of the new mixture?
34.  A 280 litre mixture contains milk and water, where water is 25% of the mixture. How much water must be added so that water becomes 50% of the new mixture?
35. 36. In a school, the ratio of Class VI to Class VII students is 3 : 5. The total number of students is 160. If some students are admitted to Class VI and the ratio becomes 1 : 1, how many students were admitted to Class VI?
36. 37. In a school, the ratio of Class VI to Class VII students is 4 : 7. The total number of students is 220. If more students join Class VI and the ratio becomes 2 : 3, how many students joined Class VI?
37. 38. In a school, the ratio of Class VI to Class VII students is 5 : 8. The total number of students is 260. If additional students are admitted to Class VI and the ratio becomes 3 : 4, how many students were admitted?
38. 39. In a school, the ratio of Class VI to Class VII students is 2 : 5. The total number of students is 210. If some students are admitted to Class VI and the ratio becomes 1 : 2, how many students were admitted?
39. 40. In a school, the ratio of Class VI to Class VII students is 7 : 9. The total number of students is 320. If more students join Class VI and the ratio becomes 4 : 5, how many students joined?
40. 41. In a school, the ratio of boys to girls is 3 : 4. The total number of students is 280. If some boys are admitted and the ratio becomes 1 : 1, how many boys were admitted?
41. 42. In a school, the ratio of boys to girls is 5 : 7. The total number of students is 360. If additional boys are admitted and the ratio becomes 3 : 4, how many boys were admitted?
42. 43. In a school, the ratio of Class VIII to Class IX students is 4 : 9. The total number of students is 390. If some students are admitted to Class VIII and the ratio becomes 2 : 3, how many students were admitted?
43. 44. In a school, the ratio of Class VI to Class VII students is 6 : 11. The total number of students is 340. If more students are admitted to Class VI and the ratio becomes 3 : 4, how many students were admitted?
44. 45. In a school, the ratio of Class VI to Class VII students is 1 : 3. The total number of students is 240. If some students are admitted to Class VI and the ratio becomes 1 : 2, how many students were admitted?
45. 1. In a college, the ratio of first-year and second-year students is 2 : 3. There are 200 students in total. If some first-year students transfer from the college, the ratio of first-year to second-year students becomes 1 : 2. How many first-year students transferred?
46. 2. In a college, the ratio of first-year and second-year students is 5 : 7. There are 240 students in total. If a few first-year students transfer from the college, the ratio becomes 2 : 3. How many first-year students transferred?
47. 3. In a college, the ratio of first-year and second-year students is 4 : 5. There are 360 students in total. If some first-year students transfer from the college, the ratio becomes 3 : 4. How many first-year students transferred?
48. 4. In a college, the ratio of first-year and second-year students is 3 : 8. There are 330 students in total. If a few first-year students transfer from the college, the ratio becomes 1 : 3. How many first-year students transferred?
49. 5. In a college, the ratio of first-year and second-year students is 7 : 9. There are 480 students in total. If some first-year students transfer from the college, the ratio becomes 2 : 3. How many first-year students transferred?
50. In a college, the ratio of first-year and second-year students is 5 : 6. There are 550 students in total. If some first-year students transfer from the college, the ratio becomes 3 : 4. How many students transferred?