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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 811 · 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 ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A grocer mixes 3 kg of tea at ₹25 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹48 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.A grocer mixes 11 kg of tea at ₹63 per kg with 11 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹56 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  6. 6.A grocer mixes 12 kg of tea at ₹37 per kg with 9 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹54 per kg is mixed with rice at ₹78 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?
  8. 8.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹51 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 6 kg of the dearer rice?
  11. 11.A 40-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?
  12. 12.Rice at ₹24 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  13. 13.A grocer mixes 8 kg of tea at ₹90 per kg with 8 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 10 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?
  15. 15.A grocer mixes 10 kg of tea at ₹25 per kg with 10 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  17. 17.Rice at ₹45 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A jug has 20 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?
  19. 19.Rice at ₹24 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.Rice at ₹20 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.Rice at ₹20 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  22. 22.A 24-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?
  23. 23.A grocer mixes 4 kg of tea at ₹100 per kg with 8 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 5 kg of tea at ₹71 per kg with 10 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  28. 28.A grocer mixes 10 kg of tea at ₹69 per kg with 5 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 4 kg of tea at ₹54 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 12 kg of tea at ₹85 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹69 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  32. 32.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  33. 33.Rice at ₹65 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹40 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  36. 36.A grocer mixes 8 kg of tea at ₹88 per kg with 8 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹59 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.A 25-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. 1
  2. 51
  3. 16
  4. 58
  5. 8
  6. 67
  7. 5
  8. 48
  9. 50
  10. 24
  11. 16
  12. 24
  13. 64
  14. 70
  15. 61
  16. 36
  17. 4
  18. 40
  19. 2
  20. 30
  21. 24
  22. 12
  23. 48
  24. 77
  25. 50
  26. 40
  27. 6
  28. 58
  29. 70
  30. 81
  31. 7
  32. 4
  33. 18
  34. 80
  35. 12
  36. 93
  37. 10
  38. 60
  39. 5
  40. 15

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