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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 256 · 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 grocer mixes 2 kg of tea at ₹114 per kg with 2 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 2 kg of tea at ₹83 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.Rice at ₹79 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.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?
  6. 6.Rice at ₹48 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.A grocer mixes 9 kg of tea at ₹58 per kg with 6 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 10 kg of tea at ₹101 per kg with 5 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹64 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  10. 10.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 7 : 5?
  11. 11.A jug has 10 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?
  12. 12.A 10-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?
  13. 13.Rice at ₹54 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 4 kg of the dearer rice?
  14. 14.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?
  15. 15.A grocer mixes 4 kg of tea at ₹85 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹23 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 3 kg of tea at ₹49 per kg with 3 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  21. 21.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?
  22. 22.A jug has 40 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?
  23. 23.A grocer mixes 4 kg of tea at ₹56 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹67 per kg is mixed with rice at ₹91 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?
  25. 25.A grocer mixes 2 kg of tea at ₹64 per kg with 11 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹28 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  27. 27.A grocer mixes 4 kg of tea at ₹49 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 49-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?
  29. 29.Rice at ₹70 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A grocer mixes 5 kg of tea at ₹21 per kg with 11 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.A grocer mixes 2 kg of tea at ₹33 per kg with 5 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹58 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.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?
  35. 35.Rice at ₹68 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 20 kg of the dearer rice?
  36. 36.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  37. 37.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?
  38. 38.A grocer mixes 8 kg of tea at ₹108 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹63 per kg with 9 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?

Answer key

  1. 89
  2. 91
  3. 40
  4. 25
  5. 60
  6. 8
  7. 48
  8. 77
  9. 25
  10. 10
  11. 60
  12. 8
  13. 5
  14. 24
  15. 88
  16. 30
  17. 60
  18. 73
  19. 40
  20. 9
  21. 64
  22. 28
  23. 53
  24. 24
  25. 53
  26. 12
  27. 50
  28. 28
  29. 20
  30. 65
  31. 2
  32. 88
  33. 1
  34. 52
  35. 15
  36. 18
  37. 50
  38. 67
  39. 66
  40. 12

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