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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 87 · 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 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  2. 2.Rice at ₹56 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.A grocer mixes 4 kg of tea at ₹69 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹30 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  6. 6.A jug has 10 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?
  7. 7.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A grocer mixes 6 kg of tea at ₹90 per kg with 10 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹66 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  10. 10.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  11. 11.A grocer mixes 2 kg of tea at ₹82 per kg with 10 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 7 kg of tea at ₹29 per kg with 7 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 3 kg of tea at ₹26 per kg with 5 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹61 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.A grocer mixes 10 kg of tea at ₹69 per kg with 2 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹74 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  18. 18.A grocer mixes 6 kg of tea at ₹66 per kg with 8 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹60 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.Rice at ₹71 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.A grocer mixes 10 kg of tea at ₹40 per kg with 10 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  23. 23.Rice at ₹40 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  25. 25.Rice at ₹31 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A jug has 25 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?
  27. 27.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?
  28. 28.Rice at ₹71 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.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 : 7?
  30. 30.Rice at ₹72 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.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?
  32. 32.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 5 : 9?
  33. 33.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?
  34. 34.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 : 2?
  35. 35.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  36. 36.Rice at ₹28 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  37. 37.Rice at ₹48 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  39. 39.A 25-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?
  40. 40.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 5 : 7?

Answer key

  1. 9
  2. 25
  3. 54
  4. 20
  5. 7
  6. 50
  7. 4
  8. 65
  9. 12
  10. 4
  11. 32
  12. 27
  13. 51
  14. 1
  15. 70
  16. 64
  17. 8
  18. 86
  19. 3
  20. 2
  21. 74
  22. 12
  23. 15
  24. 12
  25. 2
  26. 50
  27. 60
  28. 40
  29. 7
  30. 2
  31. 60
  32. 18
  33. 70
  34. 6
  35. 16
  36. 8
  37. 18
  38. 4
  39. 20
  40. 6

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