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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 73 · 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 63-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?
  2. 2.Rice at ₹69 per kg is mixed with rice at ₹74 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?
  3. 3.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  4. 4.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹80 per kg is mixed with rice at ₹143 per kg to make a mix worth ₹115 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹46 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  9. 9.A grocer mixes 6 kg of tea at ₹92 per kg with 6 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 20 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A grocer mixes 10 kg of tea at ₹55 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.Rice at ₹74 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹51 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.A grocer mixes 10 kg of tea at ₹113 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 2 kg of tea at ₹87 per kg with 7 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹21 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.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?
  20. 20.A jug has 40 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?
  21. 21.Rice at ₹27 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.A 40-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?
  23. 23.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  24. 24.A jug has 20 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?
  25. 25.Rice at ₹38 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  26. 26.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?
  27. 27.A grocer mixes 6 kg of tea at ₹50 per kg with 12 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  30. 30.A grocer mixes 4 kg of tea at ₹35 per kg with 4 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  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.Rice at ₹52 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 42 kg of the dearer rice?
  33. 33.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  35. 35.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?
  36. 36.A grocer mixes 5 kg of tea at ₹36 per kg with 2 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹76 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A 30-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?
  39. 39.Rice at ₹61 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 36
  2. 8
  3. 12
  4. 5
  5. 40
  6. 12
  7. 40
  8. 14
  9. 71
  10. 52
  11. 47
  12. 5
  13. 16
  14. 50
  15. 1
  16. 91
  17. 101
  18. 5
  19. 55
  20. 60
  21. 3
  22. 16
  23. 20
  24. 60
  25. 40
  26. 80
  27. 94
  28. 3
  29. 2
  30. 33
  31. 60
  32. 35
  33. 20
  34. 8
  35. 60
  36. 58
  37. 4
  38. 18
  39. 4
  40. 36

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