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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 61 · 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 ₹26 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.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?
  3. 3.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  4. 4.A grocer mixes 4 kg of tea at ₹91 per kg with 11 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  6. 6.A 10-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?
  7. 7.A grocer mixes 8 kg of tea at ₹107 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 12 kg of tea at ₹72 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.Rice at ₹56 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.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?
  14. 14.A 40-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?
  15. 15.Rice at ₹76 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.A 40-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?
  17. 17.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  18. 18.A grocer mixes 4 kg of tea at ₹56 per kg with 3 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 8 kg of tea at ₹79 per kg with 3 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹74 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A 30-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?
  23. 23.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  24. 24.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  25. 25.Rice at ₹78 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹69 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?
  27. 27.A grocer mixes 7 kg of tea at ₹73 per kg with 12 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.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?
  30. 30.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?
  31. 31.Rice at ₹61 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.Rice at ₹61 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.Rice at ₹54 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.Rice at ₹70 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.Rice at ₹49 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.Rice at ₹40 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.A jug has 50 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?
  38. 38.Rice at ₹39 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  39. 39.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹69 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 12
  2. 52
  3. 12
  4. 69
  5. 24
  6. 8
  7. 98
  8. 57
  9. 20
  10. 36
  11. 24
  12. 10
  13. 75
  14. 20
  15. 36
  16. 5
  17. 14
  18. 68
  19. 28
  20. 82
  21. 24
  22. 10
  23. 6
  24. 12
  25. 3
  26. 6
  27. 61
  28. 60
  29. 25
  30. 50
  31. 16
  32. 10
  33. 12
  34. 24
  35. 6
  36. 8
  37. 50
  38. 40
  39. 76
  40. 3

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