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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 879 · 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 ₹20 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 6 kg of tea at ₹58 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹70 per kg is mixed with rice at ₹90 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?
  6. 6.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.Rice at ₹28 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 25 kg of the dearer rice?
  8. 8.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  9. 9.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.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?
  11. 11.Rice at ₹33 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.Rice at ₹42 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.Rice at ₹52 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.Rice at ₹77 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  17. 17.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  18. 18.A grocer mixes 4 kg of tea at ₹93 per kg with 4 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹73 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹115 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  20. 20.A 80-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?
  21. 21.A grocer mixes 9 kg of tea at ₹119 per kg with 3 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  23. 23.A 30-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?
  24. 24.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 7 : 4?
  25. 25.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 : 7?
  26. 26.A grocer mixes 8 kg of tea at ₹55 per kg with 4 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹46 per kg with 6 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 104-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?
  29. 29.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?
  30. 30.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹108 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  33. 33.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?
  34. 34.Rice at ₹66 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.A grocer mixes 10 kg of tea at ₹115 per kg with 4 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹98 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  38. 38.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 : 8?
  39. 39.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  40. 40.Rice at ₹34 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?

Answer key

  1. 3
  2. 64
  3. 57
  4. 80
  5. 24
  6. 24
  7. 15
  8. 18
  9. 2
  10. 25
  11. 1
  12. 12
  13. 6
  14. 6
  15. 5
  16. 5
  17. 24
  18. 77
  19. 5
  20. 40
  21. 109
  22. 12
  23. 6
  24. 9
  25. 16
  26. 66
  27. 61
  28. 32
  29. 76
  30. 18
  31. 68
  32. 9
  33. 60
  34. 1
  35. 101
  36. 104
  37. 9
  38. 9
  39. 32
  40. 14

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