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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 329 · 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 ₹37 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 40 kg of the dearer rice?
  2. 2.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  3. 3.A grocer mixes 4 kg of tea at ₹104 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 8 kg of tea at ₹114 per kg with 8 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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 : 5?
  6. 6.Rice at ₹43 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  7. 7.Rice at ₹71 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  8. 8.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  10. 10.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  11. 11.Rice at ₹45 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.Rice at ₹51 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.A grocer mixes 2 kg of tea at ₹44 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹27 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.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 : 4?
  16. 16.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?
  17. 17.A grocer mixes 11 kg of tea at ₹78 per kg with 11 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹116 per kg with 8 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 12-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?
  20. 20.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  21. 21.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  22. 22.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  23. 23.Rice at ₹21 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.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?
  25. 25.A jug has 20 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?
  26. 26.Rice at ₹29 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A grocer mixes 6 kg of tea at ₹64 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 10 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?
  29. 29.A grocer mixes 9 kg of tea at ₹98 per kg with 9 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 3 kg of tea at ₹33 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹68 per kg is mixed with rice at ₹145 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  34. 34.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  35. 35.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  36. 36.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  37. 37.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?
  38. 38.A jug has 10 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?
  39. 39.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  40. 40.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?

Answer key

  1. 32
  2. 12
  3. 65
  4. 82
  5. 27
  6. 35
  7. 8
  8. 50
  9. 8
  10. 30
  11. 8
  12. 1
  13. 84
  14. 1
  15. 24
  16. 55
  17. 51
  18. 58
  19. 4
  20. 12
  21. 7
  22. 24
  23. 2
  24. 50
  25. 28
  26. 6
  27. 81
  28. 75
  29. 103
  30. 40
  31. 41
  32. 55
  33. 18
  34. 40
  35. 18
  36. 21
  37. 40
  38. 70
  39. 10
  40. 4

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