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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 862 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.Rice at ₹65 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  3. 3.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  5. 5.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  7. 7.A grocer mixes 6 kg of tea at ₹108 per kg with 5 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 10 kg of tea at ₹66 per kg with 5 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹68 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A grocer mixes 4 kg of tea at ₹112 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  12. 12.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.Rice at ₹34 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  15. 15.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  16. 16.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  17. 17.A grocer mixes 2 kg of tea at ₹50 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹120 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹70 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.Rice at ₹59 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A grocer mixes 12 kg of tea at ₹100 per kg with 12 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 3 kg of tea at ₹47 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 3 kg of tea at ₹75 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹73 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  31. 31.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  32. 32.A grocer mixes 5 kg of tea at ₹45 per kg with 11 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹70 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A grocer mixes 5 kg of tea at ₹36 per kg with 3 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹66 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  39. 39.A grocer mixes 6 kg of tea at ₹110 per kg with 6 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?

Answer key

  1. 2
  2. 8
  3. 9
  4. 6
  5. 2
  6. 15
  7. 88
  8. 61
  9. 18
  10. 94
  11. 5
  12. 64
  13. 10
  14. 9
  15. 27
  16. 9
  17. 45
  18. 95
  19. 60
  20. 15
  21. 6
  22. 80
  23. 50
  24. 87
  25. 12
  26. 50
  27. 69
  28. 50
  29. 10
  30. 14
  31. 30
  32. 89
  33. 40
  34. 1
  35. 3
  36. 60
  37. 2
  38. 28
  39. 78
  40. 12

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