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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 560 · 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 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?
  2. 2.Rice at ₹38 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  3. 3.A 56-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?
  4. 4.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  7. 7.Rice at ₹30 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  8. 8.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.Rice at ₹59 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  10. 10.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 3 : 7?
  11. 11.A jug has 10 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?
  12. 12.Rice at ₹76 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  13. 13.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.Rice at ₹30 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.Rice at ₹43 per kg is mixed with rice at ₹85 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?
  16. 16.Rice at ₹75 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  17. 17.A grocer mixes 6 kg of tea at ₹36 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  19. 19.Rice at ₹51 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  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 12 kg of tea at ₹94 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹33 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  24. 24.Rice at ₹54 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?
  25. 25.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  27. 27.Rice at ₹55 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  28. 28.Rice at ₹46 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  30. 30.A grocer mixes 8 kg of tea at ₹101 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹63 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.A grocer mixes 11 kg of tea at ₹101 per kg with 5 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹42 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 36 kg of the dearer rice?
  34. 34.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?
  35. 35.A 45-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?
  36. 36.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  38. 38.A 25-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?
  39. 39.Rice at ₹40 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  40. 40.A grocer mixes 3 kg of tea at ₹69 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 68
  2. 24
  3. 14
  4. 75
  5. 80
  6. 24
  7. 15
  8. 2
  9. 42
  10. 8
  11. 60
  12. 35
  13. 9
  14. 6
  15. 20
  16. 18
  17. 58
  18. 24
  19. 6
  20. 80
  21. 90
  22. 15
  23. 27
  24. 4
  25. 5
  26. 15
  27. 6
  28. 10
  29. 18
  30. 88
  31. 6
  32. 76
  33. 30
  34. 50
  35. 5
  36. 76
  37. 7
  38. 5
  39. 4
  40. 81

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