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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 602 · 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.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  2. 2.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?
  3. 3.A grocer mixes 3 kg of tea at ₹28 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 8 kg of tea at ₹72 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  6. 6.Rice at ₹20 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.Rice at ₹74 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 2 kg of the dearer rice?
  8. 8.Rice at ₹35 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.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 : 7?
  10. 10.A jug has 25 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?
  11. 11.A grocer mixes 2 kg of tea at ₹29 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 3 kg of tea at ₹102 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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 1 : 1?
  14. 14.A grocer mixes 12 kg of tea at ₹84 per kg with 6 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 18-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?
  16. 16.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹65 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹95 per kg with 12 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹51 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.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?
  21. 21.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?
  22. 22.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?
  23. 23.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?
  24. 24.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?
  25. 25.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  27. 27.Rice at ₹29 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 18 kg of the dearer rice?
  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 20 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?
  30. 30.Rice at ₹34 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 3 kg of the dearer rice?
  31. 31.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 : 5?
  32. 32.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  34. 34.Rice at ₹40 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.Rice at ₹49 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A 16-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?
  37. 37.Rice at ₹29 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  38. 38.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹76 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?

Answer key

  1. 12
  2. 40
  3. 44
  4. 51
  5. 9
  6. 2
  7. 12
  8. 6
  9. 6
  10. 50
  11. 80
  12. 71
  13. 8
  14. 75
  15. 6
  16. 40
  17. 6
  18. 59
  19. 3
  20. 50
  21. 52
  22. 20
  23. 76
  24. 55
  25. 12
  26. 7
  27. 3
  28. 60
  29. 60
  30. 1
  31. 15
  32. 75
  33. 16
  34. 9
  35. 24
  36. 4
  37. 8
  38. 6
  39. 36
  40. 5

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