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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 845 · 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.Rice at ₹71 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.A grocer mixes 6 kg of tea at ₹80 per kg with 6 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹41 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.A 28-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?
  6. 6.Rice at ₹45 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.Rice at ₹54 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.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?
  9. 9.A grocer mixes 6 kg of tea at ₹76 per kg with 5 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.Rice at ₹46 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹77 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 8 kg of tea at ₹74 per kg with 10 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 3 kg of tea at ₹80 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A grocer mixes 4 kg of tea at ₹94 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 6 kg of tea at ₹97 per kg with 5 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A 20-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?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹53 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 6 kg of the dearer rice?
  23. 23.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  24. 24.Rice at ₹60 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  27. 27.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?
  28. 28.A grocer mixes 9 kg of tea at ₹102 per kg with 9 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹48 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  30. 30.A grocer mixes 3 kg of tea at ₹117 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A jug has 40 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?
  32. 32.A 42-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?
  33. 33.A jug has 40 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?
  34. 34.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  35. 35.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 3 kg of tea at ₹73 per kg with 11 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 10 kg of tea at ₹41 per kg with 10 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  39. 39.A grocer mixes 10 kg of tea at ₹57 per kg with 12 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 36-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?

Answer key

  1. 1
  2. 30
  3. 87
  4. 8
  5. 16
  6. 12
  7. 6
  8. 60
  9. 66
  10. 12
  11. 12
  12. 61
  13. 54
  14. 96
  15. 9
  16. 55
  17. 102
  18. 36
  19. 2
  20. 16
  21. 40
  22. 18
  23. 27
  24. 4
  25. 50
  26. 6
  27. 7
  28. 68
  29. 3
  30. 57
  31. 60
  32. 24
  33. 40
  34. 28
  35. 50
  36. 84
  37. 56
  38. 7
  39. 81
  40. 12

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