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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 142 · 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 grocer mixes 3 kg of tea at ₹116 per kg with 8 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.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?
  4. 4.A grocer mixes 2 kg of tea at ₹120 per kg with 12 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 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?
  6. 6.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 3 kg of tea at ₹34 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹51 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹71 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A grocer mixes 3 kg of tea at ₹120 per kg with 6 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹72 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  13. 13.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?
  14. 14.A grocer mixes 6 kg of tea at ₹24 per kg with 3 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 5 kg of tea at ₹27 per kg with 5 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 3 kg of tea at ₹89 per kg with 3 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 8 kg of tea at ₹77 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹71 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  20. 20.Rice at ₹26 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  23. 23.A 18-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?
  24. 24.A grocer mixes 8 kg of tea at ₹101 per kg with 11 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹42 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.Rice at ₹40 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 30 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹21 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A grocer mixes 9 kg of tea at ₹37 per kg with 9 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹48 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  31. 31.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.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?
  33. 33.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.A grocer mixes 4 kg of tea at ₹28 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  37. 37.Rice at ₹52 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 21 kg of the dearer rice?
  38. 38.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  39. 39.Rice at ₹43 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.A grocer mixes 4 kg of tea at ₹44 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 108
  2. 36
  3. 50
  4. 114
  5. 40
  6. 60
  7. 61
  8. 35
  9. 60
  10. 4
  11. 82
  12. 24
  13. 70
  14. 43
  15. 24
  16. 25
  17. 71
  18. 88
  19. 6
  20. 30
  21. 32
  22. 24
  23. 12
  24. 90
  25. 40
  26. 25
  27. 38
  28. 40
  29. 31
  30. 40
  31. 2
  32. 10
  33. 36
  34. 34
  35. 14
  36. 9
  37. 7
  38. 30
  39. 40
  40. 53

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