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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 24 · 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 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?
  2. 2.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?
  3. 3.Rice at ₹47 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  4. 4.Rice at ₹52 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  5. 5.A grocer mixes 2 kg of tea at ₹93 per kg with 9 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹74 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹122 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹38 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  9. 9.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  10. 10.Rice at ₹58 per kg is mixed with rice at ₹63 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?
  11. 11.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  12. 12.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  13. 13.Rice at ₹28 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.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?
  15. 15.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  16. 16.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 : 3?
  17. 17.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  18. 18.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.Rice at ₹68 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A grocer mixes 10 kg of tea at ₹94 per kg with 6 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  23. 23.A grocer mixes 11 kg of tea at ₹95 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹63 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.Rice at ₹28 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  26. 26.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  27. 27.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  28. 28.Rice at ₹60 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.A grocer mixes 5 kg of tea at ₹44 per kg with 7 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  32. 32.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  33. 33.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  34. 34.A grocer mixes 4 kg of tea at ₹64 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹55 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  37. 37.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?
  38. 38.Rice at ₹55 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.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?
  40. 40.Rice at ₹42 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?

Answer key

  1. 70
  2. 28
  3. 3
  4. 8
  5. 111
  6. 1
  7. 25
  8. 10
  9. 28
  10. 6
  11. 21
  12. 10
  13. 1
  14. 40
  15. 24
  16. 32
  17. 8
  18. 50
  19. 1
  20. 10
  21. 91
  22. 4
  23. 97
  24. 5
  25. 35
  26. 18
  27. 7
  28. 1
  29. 86
  30. 40
  31. 35
  32. 12
  33. 40
  34. 55
  35. 2
  36. 4
  37. 75
  38. 1
  39. 55
  40. 35

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