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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 97 · 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.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  2. 2.A grocer mixes 11 kg of tea at ₹66 per kg with 6 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹77 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.Rice at ₹73 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.Rice at ₹73 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.A jug has 10 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A jug has 40 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  11. 11.Rice at ₹55 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 12 kg of tea at ₹97 per kg with 12 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  16. 16.A grocer mixes 5 kg of tea at ₹21 per kg with 5 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.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?
  19. 19.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.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?
  21. 21.Rice at ₹32 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.Rice at ₹22 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A grocer mixes 6 kg of tea at ₹50 per kg with 6 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.Rice at ₹43 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.Rice at ₹41 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A grocer mixes 10 kg of tea at ₹94 per kg with 10 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  29. 29.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  30. 30.A grocer mixes 9 kg of tea at ₹115 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹56 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹68 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  35. 35.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  36. 36.A jug has 10 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  38. 38.A grocer mixes 6 kg of tea at ₹113 per kg with 3 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  40. 40.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?

Answer key

  1. 36
  2. 84
  3. 5
  4. 12
  5. 5
  6. 55
  7. 50
  8. 52
  9. 75
  10. 32
  11. 3
  12. 8
  13. 40
  14. 73
  15. 21
  16. 61
  17. 25
  18. 50
  19. 1
  20. 64
  21. 36
  22. 6
  23. 51
  24. 70
  25. 9
  26. 6
  27. 57
  28. 6
  29. 8
  30. 103
  31. 36
  32. 16
  33. 71
  34. 8
  35. 10
  36. 40
  37. 8
  38. 86
  39. 27
  40. 4

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