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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 657 · 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 ₹54 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  2. 2.A grocer mixes 10 kg of tea at ₹72 per kg with 3 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.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?
  5. 5.A 15-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?
  6. 6.A grocer mixes 9 kg of tea at ₹26 per kg with 9 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 11 kg of tea at ₹24 per kg with 11 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  10. 10.A grocer mixes 6 kg of tea at ₹102 per kg with 10 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹74 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  12. 12.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?
  13. 13.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A jug has 10 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?
  15. 15.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?
  16. 16.A grocer mixes 4 kg of tea at ₹88 per kg with 5 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹52 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.Rice at ₹63 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  20. 20.Rice at ₹66 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.Rice at ₹27 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.A jug has 10 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?
  23. 23.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?
  24. 24.A grocer mixes 2 kg of tea at ₹120 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹55 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 10 kg of the dearer rice?
  26. 26.Rice at ₹46 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  28. 28.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  29. 29.Rice at ₹66 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  30. 30.A grocer mixes 10 kg of tea at ₹52 per kg with 4 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  32. 32.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 27-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?
  34. 34.Rice at ₹46 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.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 8 kg of the dearer rice?
  36. 36.A grocer mixes 12 kg of tea at ₹50 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  39. 39.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  40. 40.A 60-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?

Answer key

  1. 12
  2. 60
  3. 52
  4. 76
  5. 3
  6. 70
  7. 72
  8. 50
  9. 15
  10. 107
  11. 20
  12. 28
  13. 50
  14. 40
  15. 25
  16. 103
  17. 2
  18. 40
  19. 6
  20. 20
  21. 1
  22. 55
  23. 60
  24. 92
  25. 5
  26. 4
  27. 32
  28. 36
  29. 40
  30. 70
  31. 20
  32. 25
  33. 3
  34. 2
  35. 10
  36. 53
  37. 4
  38. 16
  39. 24
  40. 15

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