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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 659 · 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 ₹62 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.A grocer mixes 7 kg of tea at ₹104 per kg with 7 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.Rice at ₹52 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.A grocer mixes 12 kg of tea at ₹59 per kg with 12 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 2 kg of tea at ₹83 per kg with 6 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  8. 8.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.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?
  10. 10.A jug has 10 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?
  11. 11.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  12. 12.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  13. 13.Rice at ₹74 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  14. 14.Rice at ₹30 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.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 3 : 5?
  16. 16.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  17. 17.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?
  18. 18.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  19. 19.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  20. 20.A 9-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?
  21. 21.A grocer mixes 12 kg of tea at ₹23 per kg with 6 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹25 per kg with 2 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 12 kg of tea at ₹91 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 3 kg of tea at ₹38 per kg with 3 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 28-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?
  26. 26.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  27. 27.Rice at ₹48 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  28. 28.Rice at ₹58 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹52 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.Rice at ₹45 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.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?
  32. 32.A grocer mixes 9 kg of tea at ₹97 per kg with 9 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.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 16 kg of the dearer rice?
  35. 35.A grocer mixes 9 kg of tea at ₹69 per kg with 3 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹63 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.A grocer mixes 5 kg of tea at ₹117 per kg with 7 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 10
  2. 88
  3. 12
  4. 25
  5. 50
  6. 89
  7. 2
  8. 6
  9. 40
  10. 60
  11. 6
  12. 6
  13. 25
  14. 5
  15. 32
  16. 9
  17. 50
  18. 7
  19. 16
  20. 9
  21. 54
  22. 42
  23. 100
  24. 68
  25. 8
  26. 12
  27. 8
  28. 12
  29. 20
  30. 6
  31. 55
  32. 88
  33. 25
  34. 8
  35. 68
  36. 60
  37. 12
  38. 27
  39. 25
  40. 75

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