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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 650 · 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 ₹71 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  2. 2.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?
  3. 3.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  4. 4.A grocer mixes 4 kg of tea at ₹48 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 4 kg of tea at ₹93 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 40 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?
  7. 7.Rice at ₹56 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.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?
  11. 11.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?
  12. 12.A jug has 40 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?
  13. 13.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  14. 14.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  16. 16.A grocer mixes 6 kg of tea at ₹102 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹64 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  18. 18.A grocer mixes 2 kg of tea at ₹26 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 9 kg of tea at ₹72 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 3 kg of tea at ₹94 per kg with 10 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹82 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹43 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.A grocer mixes 9 kg of tea at ₹23 per kg with 10 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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 2 : 3?
  26. 26.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?
  27. 27.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  28. 28.A 49-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?
  29. 29.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  30. 30.Rice at ₹33 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.Rice at ₹68 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  32. 32.A grocer mixes 10 kg of tea at ₹65 per kg with 10 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 10 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?
  34. 34.A grocer mixes 3 kg of tea at ₹70 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹44 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  36. 36.A grocer mixes 9 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 ₹)?
  37. 37.A grocer mixes 10 kg of tea at ₹43 per kg with 7 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹46 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  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 2 : 1?

Answer key

  1. 8
  2. 28
  3. 18
  4. 73
  5. 59
  6. 20
  7. 10
  8. 50
  9. 25
  10. 55
  11. 60
  12. 52
  13. 21
  14. 80
  15. 24
  16. 98
  17. 10
  18. 69
  19. 88
  20. 68
  21. 54
  22. 88
  23. 12
  24. 73
  25. 10
  26. 50
  27. 20
  28. 21
  29. 4
  30. 18
  31. 5
  32. 86
  33. 70
  34. 98
  35. 8
  36. 102
  37. 50
  38. 5
  39. 40
  40. 5

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