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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 691 · 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 ₹75 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  2. 2.Rice at ₹65 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  3. 3.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?
  4. 4.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?
  5. 5.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹45 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.Rice at ₹68 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  8. 8.A grocer mixes 4 kg of tea at ₹33 per kg with 12 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.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?
  11. 11.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.Rice at ₹41 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  13. 13.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  14. 14.A grocer mixes 10 kg of tea at ₹63 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  16. 16.A grocer mixes 2 kg of tea at ₹97 per kg with 2 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.Rice at ₹47 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.Rice at ₹68 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.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?
  21. 21.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?
  22. 22.A 24-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?
  23. 23.Rice at ₹48 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.Rice at ₹28 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.A grocer mixes 5 kg of tea at ₹112 per kg with 11 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹114 per kg with 2 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹23 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A grocer mixes 12 kg of tea at ₹77 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 3 kg of tea at ₹93 per kg with 12 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 12 kg of tea at ₹90 per kg with 10 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  32. 32.A grocer mixes 12 kg of tea at ₹63 per kg with 4 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.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?
  35. 35.Rice at ₹58 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹24 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  38. 38.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.A grocer mixes 8 kg of tea at ₹73 per kg with 8 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹25 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 30
  2. 6
  3. 25
  4. 28
  5. 50
  6. 4
  7. 7
  8. 51
  9. 40
  10. 60
  11. 10
  12. 4
  13. 16
  14. 65
  15. 32
  16. 90
  17. 6
  18. 10
  19. 10
  20. 4
  21. 52
  22. 3
  23. 15
  24. 20
  25. 79
  26. 99
  27. 1
  28. 98
  29. 41
  30. 95
  31. 18
  32. 75
  33. 75
  34. 60
  35. 16
  36. 50
  37. 2
  38. 20
  39. 86
  40. 5

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