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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 870 · 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.

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  1. 1.Rice at ₹27 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.Rice at ₹29 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  4. 4.Rice at ₹42 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  5. 5.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 1 : 1?
  6. 6.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?
  7. 7.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.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?
  9. 9.A 21-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?
  10. 10.Rice at ₹23 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A grocer mixes 11 kg of tea at ₹120 per kg with 11 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 54-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?
  13. 13.A 25-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?
  14. 14.A jug has 40 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?
  15. 15.A grocer mixes 3 kg of tea at ₹23 per kg with 3 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 64-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?
  17. 17.Rice at ₹51 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  20. 20.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?
  21. 21.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?
  22. 22.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?
  23. 23.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?
  24. 24.Rice at ₹58 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.Rice at ₹56 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.A jug has 40 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?
  27. 27.A grocer mixes 3 kg of tea at ₹83 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹47 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 12 kg of tea at ₹51 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 72-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?
  31. 31.Rice at ₹75 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.Rice at ₹77 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  34. 34.A jug has 50 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?
  35. 35.A grocer mixes 8 kg of tea at ₹80 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 24-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?
  37. 37.A jug has 10 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?
  38. 38.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  39. 39.A jug has 20 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?
  40. 40.A grocer mixes 2 kg of tea at ₹50 per kg with 2 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 4
  2. 6
  3. 8
  4. 7
  5. 4
  6. 76
  7. 12
  8. 70
  9. 21
  10. 10
  11. 89
  12. 36
  13. 5
  14. 20
  15. 37
  16. 16
  17. 25
  18. 50
  19. 7
  20. 70
  21. 25
  22. 68
  23. 25
  24. 8
  25. 4
  26. 52
  27. 87
  28. 37
  29. 70
  30. 6
  31. 10
  32. 6
  33. 3
  34. 25
  35. 62
  36. 18
  37. 50
  38. 6
  39. 55
  40. 35

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