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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 352 · 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 ₹56 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹44 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  3. 3.A grocer mixes 3 kg of tea at ₹34 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹86 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹66 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.Rice at ₹28 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.A 32-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?
  8. 8.A grocer mixes 12 kg of tea at ₹114 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹50 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  10. 10.Rice at ₹46 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  11. 11.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?
  12. 12.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?
  13. 13.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  14. 14.A grocer mixes 4 kg of tea at ₹115 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹74 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.Rice at ₹44 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  17. 17.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  18. 18.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?
  19. 19.A grocer mixes 2 kg of tea at ₹71 per kg with 2 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  21. 21.A 81-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  22. 22.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 7 : 6?
  23. 23.A grocer mixes 11 kg of tea at ₹117 per kg with 11 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹78 per kg is mixed with rice at ₹142 per kg to make a mix worth ₹118 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  26. 26.Rice at ₹73 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.Rice at ₹22 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹49 per kg with 8 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 2 kg of tea at ₹95 per kg with 5 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  32. 32.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?
  33. 33.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.A grocer mixes 8 kg of tea at ₹82 per kg with 8 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  36. 36.Rice at ₹65 per kg is mixed with rice at ₹142 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  37. 37.A 66-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?
  38. 38.A grocer mixes 10 kg of tea at ₹42 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹64 per kg is mixed with rice at ₹69 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?
  40. 40.Rice at ₹43 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?

Answer key

  1. 24
  2. 14
  3. 36
  4. 91
  5. 3
  6. 8
  7. 16
  8. 87
  9. 15
  10. 21
  11. 25
  12. 52
  13. 4
  14. 93
  15. 4
  16. 7
  17. 28
  18. 30
  19. 89
  20. 2
  21. 9
  22. 6
  23. 73
  24. 24
  25. 10
  26. 5
  27. 12
  28. 93
  29. 105
  30. 80
  31. 3
  32. 55
  33. 32
  34. 52
  35. 16
  36. 30
  37. 18
  38. 54
  39. 10
  40. 6

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