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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 136 · 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 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  2. 2.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?
  3. 3.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?
  4. 4.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?
  5. 5.A 18-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?
  6. 6.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  7. 7.Rice at ₹63 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  8. 8.Rice at ₹77 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.Rice at ₹69 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  10. 10.A grocer mixes 3 kg of tea at ₹114 per kg with 3 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.A grocer mixes 10 kg of tea at ₹65 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 3 kg of tea at ₹95 per kg with 10 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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 1 : 2?
  15. 15.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  16. 16.A grocer mixes 12 kg of tea at ₹67 per kg with 8 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹69 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  19. 19.Rice at ₹26 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.Rice at ₹31 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.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 : 3?
  22. 22.A jug has 40 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?
  23. 23.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  24. 24.A grocer mixes 2 kg of tea at ₹62 per kg with 5 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹36 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.A grocer mixes 7 kg of tea at ₹67 per kg with 12 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹46 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  28. 28.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?
  29. 29.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?
  30. 30.Rice at ₹24 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  31. 31.A grocer mixes 5 kg of tea at ₹37 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.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?
  34. 34.Rice at ₹23 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.A grocer mixes 4 kg of tea at ₹39 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 3 kg of tea at ₹70 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A 56-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  39. 39.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 : 6?
  40. 40.A grocer mixes 3 kg of tea at ₹72 per kg with 5 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 25
  3. 75
  4. 50
  5. 2
  6. 8
  7. 2
  8. 20
  9. 4
  10. 99
  11. 4
  12. 60
  13. 55
  14. 24
  15. 4
  16. 79
  17. 30
  18. 2
  19. 8
  20. 4
  21. 8
  22. 60
  23. 4
  24. 67
  25. 10
  26. 79
  27. 16
  28. 50
  29. 25
  30. 28
  31. 35
  32. 50
  33. 60
  34. 15
  35. 35
  36. 42
  37. 68
  38. 8
  39. 28
  40. 82

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