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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 105 · 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 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  2. 2.A 27-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?
  3. 3.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.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?
  5. 5.Rice at ₹27 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.Rice at ₹26 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.Rice at ₹63 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.Rice at ₹29 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  9. 9.A grocer mixes 10 kg of tea at ₹68 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A 99-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?
  12. 12.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  13. 13.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?
  14. 14.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  15. 15.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 50-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?
  17. 17.A grocer mixes 8 kg of tea at ₹80 per kg with 8 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹53 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  20. 20.A grocer mixes 7 kg of tea at ₹40 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹36 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.Rice at ₹78 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  24. 24.Rice at ₹78 per kg is mixed with rice at ₹142 per kg to make a mix worth ₹118 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.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?
  26. 26.A grocer mixes 12 kg of tea at ₹84 per kg with 2 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  28. 28.A grocer mixes 2 kg of tea at ₹103 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 9 kg of tea at ₹82 per kg with 9 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹42 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 6 kg of the dearer rice?
  31. 31.Rice at ₹20 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  32. 32.A grocer mixes 7 kg of tea at ₹79 per kg with 7 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹69 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  34. 34.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 : 9?
  35. 35.A grocer mixes 4 kg of tea at ₹105 per kg with 12 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹50 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  37. 37.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  38. 38.Rice at ₹33 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  39. 39.A 8-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?
  40. 40.Rice at ₹71 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?

Answer key

  1. 24
  2. 3
  3. 16
  4. 70
  5. 2
  6. 12
  7. 32
  8. 6
  9. 63
  10. 6
  11. 36
  12. 40
  13. 25
  14. 7
  15. 60
  16. 20
  17. 63
  18. 9
  19. 24
  20. 38
  21. 50
  22. 3
  23. 35
  24. 3
  25. 50
  26. 89
  27. 6
  28. 109
  29. 101
  30. 8
  31. 4
  32. 85
  33. 7
  34. 8
  35. 72
  36. 32
  37. 12
  38. 35
  39. 4
  40. 25

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