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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 643 · 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 grocer mixes 11 kg of tea at ₹113 per kg with 11 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 40 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?
  3. 3.A grocer mixes 12 kg of tea at ₹30 per kg with 12 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹60 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  5. 5.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  6. 6.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?
  7. 7.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?
  8. 8.A grocer mixes 3 kg of tea at ₹108 per kg with 9 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 8 kg of tea at ₹20 per kg with 9 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A grocer mixes 6 kg of tea at ₹105 per kg with 12 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 5 kg of tea at ₹74 per kg with 3 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹74 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  14. 14.Rice at ₹48 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.A grocer mixes 8 kg of tea at ₹37 per kg with 8 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  18. 18.Rice at ₹72 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.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?
  20. 20.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?
  21. 21.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  22. 22.A grocer mixes 2 kg of tea at ₹105 per kg with 11 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹71 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.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 : 8?
  25. 25.Rice at ₹42 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.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?
  27. 27.Rice at ₹62 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.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 2 : 5?
  29. 29.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  30. 30.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?
  31. 31.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 4 : 7?
  32. 32.A grocer mixes 5 kg of tea at ₹59 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.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?
  36. 36.Rice at ₹20 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.A grocer mixes 8 kg of tea at ₹76 per kg with 8 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹107 per kg with 10 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹62 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 14 kg of the dearer rice?

Answer key

  1. 112
  2. 40
  3. 49
  4. 7
  5. 16
  6. 4
  7. 60
  8. 45
  9. 29
  10. 80
  11. 91
  12. 77
  13. 20
  14. 15
  15. 12
  16. 55
  17. 4
  18. 20
  19. 5
  20. 20
  21. 16
  22. 72
  23. 2
  24. 16
  25. 4
  26. 75
  27. 3
  28. 8
  29. 4
  30. 50
  31. 16
  32. 57
  33. 50
  34. 50
  35. 70
  36. 2
  37. 52
  38. 21
  39. 91
  40. 7

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