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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 75 · 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 grocer mixes 8 kg of tea at ₹114 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 10 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?
  3. 3.A jug has 10 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?
  4. 4.Rice at ₹30 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  5. 5.Rice at ₹61 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  6. 6.A 70-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?
  7. 7.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?
  8. 8.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 : 9?
  9. 9.Rice at ₹53 per kg is mixed with rice at ₹69 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 ₹62 per kg is mixed with rice at ₹150 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  12. 12.A grocer mixes 8 kg of tea at ₹24 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  15. 15.A grocer mixes 10 kg of tea at ₹82 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 2 kg of tea at ₹79 per kg with 5 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹67 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.A grocer mixes 5 kg of tea at ₹100 per kg with 5 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.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?
  21. 21.A grocer mixes 9 kg of tea at ₹21 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹38 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 24 kg of the dearer rice?
  23. 23.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  25. 25.Rice at ₹48 per kg is mixed with rice at ₹96 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?
  26. 26.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  27. 27.A jug has 20 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?
  28. 28.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?
  29. 29.Rice at ₹36 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  31. 31.Rice at ₹37 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.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 : 5?
  33. 33.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?
  34. 34.Rice at ₹63 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.Rice at ₹68 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.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?
  37. 37.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 6 kg of tea at ₹88 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 8 kg of tea at ₹22 per kg with 11 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 20 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?

Answer key

  1. 91
  2. 70
  3. 70
  4. 8
  5. 12
  6. 20
  7. 60
  8. 20
  9. 24
  10. 36
  11. 4
  12. 26
  13. 40
  14. 30
  15. 79
  16. 104
  17. 21
  18. 88
  19. 75
  20. 80
  21. 33
  22. 30
  23. 5
  24. 2
  25. 30
  26. 20
  27. 28
  28. 25
  29. 9
  30. 4
  31. 6
  32. 16
  33. 40
  34. 6
  35. 16
  36. 25
  37. 50
  38. 79
  39. 44
  40. 40

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