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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 580 · 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 10 kg of tea at ₹83 per kg with 4 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.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?
  4. 4.A grocer mixes 2 kg of tea at ₹110 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹33 per kg with 3 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  7. 7.Rice at ₹76 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.Rice at ₹58 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  9. 9.A grocer mixes 9 kg of tea at ₹45 per kg with 12 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  11. 11.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.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 1 : 3?
  13. 13.A grocer mixes 6 kg of tea at ₹46 per kg with 10 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 6 kg of tea at ₹25 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹72 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹56 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹23 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.Rice at ₹46 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A grocer mixes 7 kg of tea at ₹43 per kg with 7 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A jug has 20 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?
  24. 24.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?
  25. 25.A jug has 20 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?
  26. 26.A 77-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?
  27. 27.A grocer mixes 2 kg of tea at ₹30 per kg with 8 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.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?
  30. 30.A 60-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?
  31. 31.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?
  32. 32.A grocer mixes 4 kg of tea at ₹68 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹45 per kg with 3 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹26 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  35. 35.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 : 6?
  36. 36.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  38. 38.Rice at ₹63 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹46 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹26 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 93
  2. 4
  3. 28
  4. 50
  5. 78
  6. 27
  7. 9
  8. 6
  9. 85
  10. 9
  11. 8
  12. 8
  13. 86
  14. 37
  15. 15
  16. 55
  17. 18
  18. 68
  19. 20
  20. 24
  21. 62
  22. 36
  23. 70
  24. 50
  25. 52
  26. 21
  27. 74
  28. 3
  29. 50
  30. 40
  31. 25
  32. 92
  33. 60
  34. 8
  35. 8
  36. 16
  37. 5
  38. 20
  39. 41
  40. 8

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