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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 49 · 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 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 11 kg of tea at ₹28 per kg with 11 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.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 1 : 1?
  5. 5.A 40-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?
  6. 6.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?
  7. 7.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹71 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.Rice at ₹55 per kg is mixed with rice at ₹65 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?
  10. 10.Rice at ₹40 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.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?
  12. 12.A grocer mixes 6 kg of tea at ₹120 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹29 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.A grocer mixes 7 kg of tea at ₹91 per kg with 7 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 2 kg of tea at ₹64 per kg with 3 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹54 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  18. 18.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.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?
  20. 20.A jug has 25 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?
  21. 21.Rice at ₹31 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  22. 22.A grocer mixes 5 kg of tea at ₹102 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  24. 24.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.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?
  26. 26.A grocer mixes 6 kg of tea at ₹23 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹65 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A grocer mixes 9 kg of tea at ₹22 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹63 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  30. 30.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.A 12-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?
  32. 32.Rice at ₹76 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  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.A 65-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?
  35. 35.A 9-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?
  36. 36.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?
  37. 37.Rice at ₹62 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A 12-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?
  39. 39.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  40. 40.A 81-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?

Answer key

  1. 40
  2. 29
  3. 16
  4. 8
  5. 20
  6. 25
  7. 36
  8. 18
  9. 32
  10. 6
  11. 36
  12. 112
  13. 6
  14. 57
  15. 40
  16. 4
  17. 16
  18. 8
  19. 8
  20. 50
  21. 12
  22. 72
  23. 4
  24. 2
  25. 55
  26. 25
  27. 12
  28. 30
  29. 8
  30. 32
  31. 4
  32. 20
  33. 60
  34. 5
  35. 3
  36. 40
  37. 25
  38. 12
  39. 8
  40. 9

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