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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 28 · 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 ₹30 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  2. 2.A grocer mixes 5 kg of tea at ₹78 per kg with 5 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 20 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?
  4. 4.A 6-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?
  5. 5.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  6. 6.Rice at ₹27 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.Rice at ₹69 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  8. 8.Rice at ₹59 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹27 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.Rice at ₹76 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  12. 12.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  13. 13.A grocer mixes 2 kg of tea at ₹36 per kg with 8 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  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 ₹60 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  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.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  18. 18.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?
  19. 19.Rice at ₹22 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.Rice at ₹43 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A grocer mixes 6 kg of tea at ₹24 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A grocer mixes 3 kg of tea at ₹95 per kg with 10 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 10 kg of tea at ₹115 per kg with 9 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹56 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  27. 27.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 4 : 9?
  28. 28.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?
  29. 29.A grocer mixes 4 kg of tea at ₹77 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 8 kg of tea at ₹67 per kg with 4 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  32. 32.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹55 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 5 kg of tea at ₹36 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹45 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 10 kg of tea at ₹70 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 8 kg of tea at ₹45 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?

Answer key

  1. 42
  2. 65
  3. 60
  4. 4
  5. 5
  6. 3
  7. 35
  8. 10
  9. 70
  10. 12
  11. 35
  12. 8
  13. 68
  14. 20
  15. 50
  16. 55
  17. 20
  18. 50
  19. 8
  20. 10
  21. 43
  22. 36
  23. 75
  24. 88
  25. 12
  26. 10
  27. 16
  28. 55
  29. 68
  30. 71
  31. 20
  32. 25
  33. 51
  34. 25
  35. 90
  36. 18
  37. 40
  38. 58
  39. 41
  40. 10

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