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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 116 · 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 ₹47 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  2. 2.Rice at ₹25 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.Rice at ₹80 per kg is mixed with rice at ₹85 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?
  4. 4.A grocer mixes 9 kg of tea at ₹96 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 50 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?
  6. 6.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 6 : 11?
  7. 7.Rice at ₹48 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹64 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  9. 9.A grocer mixes 11 kg of tea at ₹64 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  12. 12.A 52-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?
  13. 13.A grocer mixes 9 kg of tea at ₹76 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹29 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.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?
  17. 17.Rice at ₹73 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A grocer mixes 7 kg of tea at ₹51 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹20 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  21. 21.A grocer mixes 11 kg of tea at ₹70 per kg with 11 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 7 kg of tea at ₹87 per kg with 7 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  24. 24.A grocer mixes 9 kg of tea at ₹36 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  26. 26.A grocer mixes 7 kg of tea at ₹114 per kg with 5 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹78 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.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 6 kg of the dearer rice?
  29. 29.A grocer mixes 9 kg of tea at ₹33 per kg with 4 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 40 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?
  31. 31.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹46 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  33. 33.Rice at ₹70 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.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 4 : 9?
  35. 35.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.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?
  38. 38.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  39. 39.Rice at ₹22 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.A jug has 40 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?

Answer key

  1. 30
  2. 6
  3. 12
  4. 82
  5. 25
  6. 24
  7. 24
  8. 14
  9. 76
  10. 40
  11. 10
  12. 4
  13. 75
  14. 30
  15. 50
  16. 40
  17. 12
  18. 66
  19. 1
  20. 24
  21. 95
  22. 56
  23. 18
  24. 32
  25. 18
  26. 99
  27. 32
  28. 4
  29. 45
  30. 60
  31. 80
  32. 6
  33. 16
  34. 40
  35. 27
  36. 4
  37. 50
  38. 7
  39. 6
  40. 60

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