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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 145 · 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 jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹20 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.A jug has 25 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?
  4. 4.A grocer mixes 5 kg of tea at ₹107 per kg with 7 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 80-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?
  6. 6.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  8. 8.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  9. 9.Rice at ₹33 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.Rice at ₹38 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.Rice at ₹79 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.Rice at ₹40 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  14. 14.A grocer mixes 5 kg of tea at ₹115 per kg with 5 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.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?
  19. 19.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?
  20. 20.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?
  21. 21.A grocer mixes 10 kg of tea at ₹22 per kg with 10 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 2 kg of tea at ₹92 per kg with 5 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A grocer mixes 3 kg of tea at ₹45 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹54 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 2 kg of tea at ₹82 per kg with 9 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 6 kg of tea at ₹25 per kg with 9 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 11 kg of tea at ₹75 per kg with 11 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.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?
  31. 31.Rice at ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  32. 32.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  33. 33.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  34. 34.A jug has 40 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?
  35. 35.A grocer mixes 10 kg of tea at ₹95 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹81 per kg with 12 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  38. 38.A grocer mixes 4 kg of tea at ₹52 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.Rice at ₹29 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 50
  2. 5
  3. 50
  4. 114
  5. 40
  6. 21
  7. 20
  8. 40
  9. 12
  10. 15
  11. 10
  12. 1
  13. 20
  14. 112
  15. 20
  16. 50
  17. 60
  18. 60
  19. 36
  20. 40
  21. 37
  22. 87
  23. 3
  24. 41
  25. 74
  26. 64
  27. 22
  28. 48
  29. 10
  30. 75
  31. 6
  32. 32
  33. 30
  34. 28
  35. 87
  36. 83
  37. 2
  38. 72
  39. 64
  40. 4

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