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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 984 · 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 ₹69 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.A 52-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?
  3. 3.Rice at ₹27 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  5. 5.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 : 3?
  6. 6.A grocer mixes 12 kg of tea at ₹53 per kg with 10 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  8. 8.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  9. 9.Rice at ₹45 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  10. 10.A grocer mixes 4 kg of tea at ₹52 per kg with 10 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 35-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?
  12. 12.A 70-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  13. 13.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?
  14. 14.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  15. 15.A grocer mixes 8 kg of tea at ₹84 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 10 kg of tea at ₹52 per kg with 5 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  19. 19.A grocer mixes 9 kg of tea at ₹108 per kg with 7 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹37 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.Rice at ₹61 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  24. 24.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 7 : 9?
  25. 25.Rice at ₹52 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.A 8-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?
  27. 27.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?
  28. 28.Rice at ₹51 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹69 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A grocer mixes 7 kg of tea at ₹68 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 27-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?
  32. 32.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 : 4?
  33. 33.A grocer mixes 12 kg of tea at ₹117 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹52 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A grocer mixes 10 kg of tea at ₹28 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 2 kg of tea at ₹61 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.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?
  40. 40.A grocer mixes 5 kg of tea at ₹60 per kg with 10 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 5
  2. 4
  3. 8
  4. 9
  5. 40
  6. 43
  7. 16
  8. 36
  9. 7
  10. 77
  11. 14
  12. 7
  13. 60
  14. 7
  15. 76
  16. 43
  17. 25
  18. 10
  19. 73
  20. 3
  21. 2
  22. 6
  23. 8
  24. 9
  25. 1
  26. 4
  27. 50
  28. 36
  29. 10
  30. 62
  31. 12
  32. 18
  33. 113
  34. 55
  35. 18
  36. 46
  37. 73
  38. 25
  39. 28
  40. 42

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