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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 745 · 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 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  2. 2.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  3. 3.A grocer mixes 7 kg of tea at ₹58 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 12 kg of tea at ₹20 per kg with 12 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 3 kg of tea at ₹109 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹62 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.Rice at ₹64 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  8. 8.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 : 7?
  9. 9.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.A 15-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?
  11. 11.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?
  12. 12.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹27 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.Rice at ₹37 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  18. 18.Rice at ₹80 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  19. 19.Rice at ₹33 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  20. 20.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  21. 21.A grocer mixes 7 kg of tea at ₹102 per kg with 7 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹73 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  25. 25.A grocer mixes 2 kg of tea at ₹87 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  27. 27.A grocer mixes 4 kg of tea at ₹73 per kg with 2 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.Rice at ₹70 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹87 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 45-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?
  32. 32.A grocer mixes 5 kg of tea at ₹97 per kg with 5 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.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 : 2?
  35. 35.A grocer mixes 4 kg of tea at ₹81 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 5 kg of tea at ₹40 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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 : 6?
  38. 38.A grocer mixes 9 kg of tea at ₹47 per kg with 9 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.Rice at ₹73 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?

Answer key

  1. 16
  2. 6
  3. 34
  4. 26
  5. 98
  6. 25
  7. 12
  8. 16
  9. 4
  10. 5
  11. 52
  12. 8
  13. 1
  14. 50
  15. 24
  16. 9
  17. 8
  18. 21
  19. 35
  20. 15
  21. 90
  22. 24
  23. 60
  24. 27
  25. 67
  26. 4
  27. 74
  28. 28
  29. 32
  30. 66
  31. 36
  32. 102
  33. 28
  34. 10
  35. 91
  36. 46
  37. 18
  38. 58
  39. 9
  40. 14

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