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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 157 · 40 questions
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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 ₹42 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.Rice at ₹52 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  3. 3.A grocer mixes 2 kg of tea at ₹76 per kg with 8 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 5 kg of tea at ₹44 per kg with 5 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  6. 6.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?
  7. 7.Rice at ₹55 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.Rice at ₹52 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹42 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹60 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  13. 13.Rice at ₹33 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  14. 14.A grocer mixes 7 kg of tea at ₹111 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  17. 17.A 18-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?
  18. 18.A grocer mixes 4 kg of tea at ₹92 per kg with 12 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  20. 20.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹37 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  22. 22.A grocer mixes 4 kg of tea at ₹112 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 20 litres of a drink that is 10% mango juice. 20 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 ₹107 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  28. 28.Rice at ₹57 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  29. 29.A jug has 40 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?
  30. 30.A grocer mixes 12 kg of tea at ₹97 per kg with 12 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹26 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹60 per kg with 9 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹69 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.A grocer mixes 9 kg of tea at ₹90 per kg with 10 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹61 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.A grocer mixes 6 kg of tea at ₹94 per kg with 12 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 2 kg of tea at ₹38 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 3
  2. 10
  3. 88
  4. 58
  5. 24
  6. 25
  7. 6
  8. 5
  9. 57
  10. 6
  11. 8
  12. 8
  13. 40
  14. 101
  15. 60
  16. 36
  17. 6
  18. 47
  19. 16
  20. 40
  21. 7
  22. 75
  23. 55
  24. 98
  25. 50
  26. 50
  27. 35
  28. 6
  29. 20
  30. 62
  31. 63
  32. 39
  33. 75
  34. 15
  35. 70
  36. 2
  37. 18
  38. 74
  39. 39
  40. 5

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