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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 707 · 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 ₹111 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.Rice at ₹61 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.Rice at ₹62 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.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?
  6. 6.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?
  7. 7.Rice at ₹24 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  9. 9.A jug has 20 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?
  10. 10.A jug has 25 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 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.A grocer mixes 3 kg of tea at ₹106 per kg with 9 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 40-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?
  14. 14.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?
  15. 15.A grocer mixes 11 kg of tea at ₹118 per kg with 11 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹36 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.A grocer mixes 3 kg of tea at ₹56 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹52 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  22. 22.A grocer mixes 5 kg of tea at ₹92 per kg with 7 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 6 kg of tea at ₹22 per kg with 2 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  25. 25.Rice at ₹45 per kg is mixed with rice at ₹73 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?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  27. 27.Rice at ₹62 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.Rice at ₹75 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  29. 29.Rice at ₹43 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.A grocer mixes 5 kg of tea at ₹115 per kg with 5 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 3 kg of tea at ₹52 per kg with 9 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹24 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  33. 33.Rice at ₹69 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹51 per kg with 9 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  36. 36.Rice at ₹59 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.A 36-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?
  38. 38.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?
  39. 39.A grocer mixes 8 kg of tea at ₹82 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹49 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?

Answer key

  1. 70
  2. 12
  3. 2
  4. 5
  5. 80
  6. 25
  7. 6
  8. 9
  9. 28
  10. 50
  11. 20
  12. 94
  13. 20
  14. 50
  15. 81
  16. 75
  17. 18
  18. 8
  19. 54
  20. 20
  21. 8
  22. 64
  23. 40
  24. 4
  25. 12
  26. 25
  27. 12
  28. 21
  29. 25
  30. 73
  31. 88
  32. 21
  33. 1
  34. 93
  35. 10
  36. 4
  37. 9
  38. 60
  39. 89
  40. 12

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