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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 72 · 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 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  2. 2.A grocer mixes 3 kg of tea at ₹21 per kg with 3 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹50 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  5. 5.A grocer mixes 4 kg of tea at ₹85 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.Rice at ₹68 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  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 ₹41 per kg is mixed with rice at ₹113 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?
  10. 10.A 63-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?
  11. 11.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 7 : 8?
  12. 12.A grocer mixes 5 kg of tea at ₹68 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 12 kg of tea at ₹26 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹40 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.Rice at ₹50 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 10 kg of the dearer rice?
  16. 16.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?
  17. 17.A 77-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?
  18. 18.Rice at ₹58 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  19. 19.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  20. 20.A 16-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?
  21. 21.Rice at ₹57 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  23. 23.A jug has 40 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?
  24. 24.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 : 4?
  25. 25.Rice at ₹53 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A grocer mixes 11 kg of tea at ₹63 per kg with 11 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A 49-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  29. 29.A 50-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?
  30. 30.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?
  31. 31.Rice at ₹72 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A grocer mixes 5 kg of tea at ₹37 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  34. 34.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 4 kg of tea at ₹51 per kg with 5 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹33 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  37. 37.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?
  38. 38.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  39. 39.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?
  40. 40.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 40
  2. 22
  3. 24
  4. 32
  5. 97
  6. 20
  7. 30
  8. 25
  9. 15
  10. 36
  11. 9
  12. 104
  13. 44
  14. 12
  15. 8
  16. 8
  17. 7
  18. 32
  19. 2
  20. 2
  21. 3
  22. 24
  23. 36
  24. 6
  25. 1
  26. 48
  27. 25
  28. 7
  29. 10
  30. 80
  31. 4
  32. 61
  33. 12
  34. 50
  35. 56
  36. 3
  37. 60
  38. 3
  39. 55
  40. 32

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