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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 20 · 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 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?
  2. 2.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.Rice at ₹69 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 8 kg of the dearer rice?
  4. 4.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.A grocer mixes 3 kg of tea at ₹55 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 2 kg of tea at ₹114 per kg with 10 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.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?
  9. 9.Rice at ₹35 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  10. 10.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.Rice at ₹29 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.A jug has 40 litres of a drink that is 40% mango juice. 8 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 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  16. 16.A grocer mixes 2 kg of tea at ₹109 per kg with 3 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹31 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹29 per kg with 4 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.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?
  21. 21.A grocer mixes 7 kg of tea at ₹104 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹25 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  23. 23.Rice at ₹51 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹52 per kg with 9 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A 30-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?
  27. 27.A grocer mixes 12 kg of tea at ₹36 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹29 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A 56-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?
  32. 32.A 56-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?
  33. 33.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?
  34. 34.Rice at ₹26 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  35. 35.A 84-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?
  36. 36.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹31 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  39. 39.Rice at ₹22 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.Rice at ₹56 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 28
  2. 24
  3. 4
  4. 6
  5. 40
  6. 74
  7. 25
  8. 52
  9. 14
  10. 4
  11. 2
  12. 14
  13. 50
  14. 60
  15. 4
  16. 82
  17. 9
  18. 57
  19. 4
  20. 80
  21. 74
  22. 12
  23. 9
  24. 49
  25. 64
  26. 20
  27. 32
  28. 55
  29. 24
  30. 50
  31. 32
  32. 16
  33. 25
  34. 12
  35. 28
  36. 25
  37. 1
  38. 7
  39. 20
  40. 8

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