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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 938 · 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 jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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?
  3. 3.Rice at ₹41 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  4. 4.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 : 5?
  5. 5.Rice at ₹38 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.Rice at ₹78 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 9 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  10. 10.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?
  11. 11.A jug has 20 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?
  12. 12.A 36-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?
  13. 13.Rice at ₹71 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  14. 14.Rice at ₹69 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  15. 15.Rice at ₹39 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 3 kg of tea at ₹26 per kg with 7 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹60 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  20. 20.A grocer mixes 12 kg of tea at ₹114 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  23. 23.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?
  24. 24.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  25. 25.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.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?
  27. 27.A jug has 10 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?
  28. 28.A grocer mixes 6 kg of tea at ₹44 per kg with 9 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 4 kg of tea at ₹78 per kg with 8 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹29 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  31. 31.Rice at ₹32 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.A grocer mixes 6 kg of tea at ₹68 per kg with 5 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.A grocer mixes 4 kg of tea at ₹61 per kg with 8 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  36. 36.Rice at ₹46 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 11 kg of tea at ₹98 per kg with 2 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹116 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹94 per kg with 10 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 75
  2. 75
  3. 20
  4. 8
  5. 6
  6. 15
  7. 25
  8. 25
  9. 24
  10. 70
  11. 70
  12. 18
  13. 5
  14. 3
  15. 3
  16. 80
  17. 40
  18. 5
  19. 5
  20. 105
  21. 70
  22. 14
  23. 55
  24. 36
  25. 10
  26. 55
  27. 40
  28. 35
  29. 100
  30. 4
  31. 9
  32. 83
  33. 8
  34. 51
  35. 27
  36. 40
  37. 52
  38. 92
  39. 69
  40. 74

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