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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 261 · 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 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 : 1?
  2. 2.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  4. 4.Rice at ₹69 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  5. 5.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.A 14-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?
  7. 7.A jug has 40 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?
  8. 8.Rice at ₹79 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.Rice at ₹41 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  10. 10.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  11. 11.A 45-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?
  12. 12.A grocer mixes 8 kg of tea at ₹94 per kg with 12 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 3 kg of tea at ₹60 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 10 kg of tea at ₹38 per kg with 5 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹46 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.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 1 : 3?
  17. 17.A jug has 20 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?
  18. 18.A grocer mixes 4 kg of tea at ₹27 per kg with 10 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹57 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.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?
  21. 21.A jug has 20 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?
  22. 22.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?
  23. 23.A grocer mixes 5 kg of tea at ₹82 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹21 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  27. 27.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.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?
  29. 29.Rice at ₹46 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹99 per kg with 2 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹68 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.A grocer mixes 9 kg of tea at ₹48 per kg with 9 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 2 kg of tea at ₹40 per kg with 8 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 7 kg of tea at ₹37 per kg with 5 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 6 kg of tea at ₹24 per kg with 12 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 8 kg of tea at ₹101 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 3
  2. 50
  3. 32
  4. 35
  5. 12
  6. 4
  7. 40
  8. 3
  9. 7
  10. 12
  11. 9
  12. 58
  13. 83
  14. 58
  15. 6
  16. 6
  17. 28
  18. 77
  19. 5
  20. 16
  21. 52
  22. 2
  23. 70
  24. 60
  25. 20
  26. 20
  27. 75
  28. 60
  29. 4
  30. 68
  31. 4
  32. 37
  33. 80
  34. 20
  35. 50
  36. 42
  37. 68
  38. 103
  39. 60
  40. 3

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