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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 215 · 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 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 3 kg of tea at ₹32 per kg with 3 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 5 kg of tea at ₹60 per kg with 10 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  5. 5.Rice at ₹38 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.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?
  7. 7.A 32-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?
  8. 8.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.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?
  10. 10.A grocer mixes 10 kg of tea at ₹117 per kg with 10 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 9 kg of tea at ₹42 per kg with 3 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A grocer mixes 5 kg of tea at ₹75 per kg with 11 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 7 kg of tea at ₹116 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 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 grocer mixes 5 kg of tea at ₹80 per kg with 10 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹24 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  18. 18.A grocer mixes 7 kg of tea at ₹108 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 5 kg of tea at ₹64 per kg with 12 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  21. 21.A 24-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?
  22. 22.A jug has 20 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?
  23. 23.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.Rice at ₹60 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  25. 25.Rice at ₹68 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹120 per kg with 6 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  28. 28.Rice at ₹53 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  30. 30.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  31. 31.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 1 : 1?
  32. 32.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?
  33. 33.Rice at ₹70 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  34. 34.Rice at ₹55 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.A 110-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?
  36. 36.A 27-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?
  37. 37.Rice at ₹48 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A grocer mixes 9 kg of tea at ₹79 per kg with 9 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A 15-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?

Answer key

  1. 60
  2. 43
  3. 100
  4. 32
  5. 10
  6. 50
  7. 4
  8. 18
  9. 75
  10. 77
  11. 54
  12. 55
  13. 53
  14. 68
  15. 52
  16. 44
  17. 15
  18. 73
  19. 40
  20. 12
  21. 8
  22. 60
  23. 50
  24. 7
  25. 2
  26. 93
  27. 8
  28. 6
  29. 32
  30. 16
  31. 16
  32. 40
  33. 3
  34. 2
  35. 20
  36. 9
  37. 25
  38. 92
  39. 36
  40. 9

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