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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 963 · 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 10 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?
  2. 2.A grocer mixes 6 kg of tea at ₹33 per kg with 6 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹77 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  5. 5.A jug has 20 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?
  6. 6.Rice at ₹55 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  7. 7.A grocer mixes 10 kg of tea at ₹63 per kg with 10 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  10. 10.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?
  11. 11.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?
  12. 12.Rice at ₹24 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  13. 13.Rice at ₹30 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.A grocer mixes 2 kg of tea at ₹47 per kg with 2 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  16. 16.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  18. 18.Rice at ₹38 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  19. 19.A 15-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?
  20. 20.A jug has 10 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?
  21. 21.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  22. 22.Rice at ₹58 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 6 kg of tea at ₹120 per kg with 7 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 50 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?
  26. 26.A grocer mixes 5 kg of tea at ₹51 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹46 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.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?
  29. 29.A grocer mixes 3 kg of tea at ₹90 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  31. 31.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?
  32. 32.Rice at ₹52 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.Rice at ₹20 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  34. 34.A 14-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?
  35. 35.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A grocer mixes 2 kg of tea at ₹100 per kg with 12 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.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?
  39. 39.A grocer mixes 2 kg of tea at ₹76 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 68
  2. 53
  3. 42
  4. 30
  5. 50
  6. 28
  7. 70
  8. 50
  9. 18
  10. 50
  11. 64
  12. 6
  13. 2
  14. 67
  15. 21
  16. 3
  17. 7
  18. 7
  19. 3
  20. 75
  21. 28
  22. 28
  23. 60
  24. 78
  25. 50
  26. 55
  27. 2
  28. 50
  29. 81
  30. 3
  31. 75
  32. 18
  33. 7
  34. 8
  35. 8
  36. 58
  37. 76
  38. 60
  39. 55
  40. 4

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