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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 810 · 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.Rice at ₹68 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  2. 2.Rice at ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  4. 4.A grocer mixes 8 kg of tea at ₹61 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A grocer mixes 6 kg of tea at ₹105 per kg with 8 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 2 kg of tea at ₹39 per kg with 5 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  9. 9.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?
  10. 10.Rice at ₹41 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.Rice at ₹66 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  12. 12.Rice at ₹33 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.A grocer mixes 7 kg of tea at ₹30 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 10 kg of tea at ₹104 per kg with 10 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  17. 17.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  18. 18.A grocer mixes 2 kg of tea at ₹44 per kg with 8 kg of tea at ₹119 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 grocer mixes 3 kg of tea at ₹65 per kg with 9 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  22. 22.A grocer mixes 2 kg of tea at ₹62 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹68 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.Rice at ₹51 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  25. 25.Rice at ₹38 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  26. 26.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  27. 27.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  28. 28.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?
  29. 29.Rice at ₹31 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.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 : 3?
  31. 31.A grocer mixes 4 kg of tea at ₹57 per kg with 6 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  34. 34.A grocer mixes 3 kg of tea at ₹29 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹38 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 16 kg of the dearer rice?
  36. 36.A grocer mixes 6 kg of tea at ₹61 per kg with 5 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹115 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A jug has 10 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 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?

Answer key

  1. 10
  2. 2
  3. 15
  4. 56
  5. 60
  6. 93
  7. 79
  8. 10
  9. 40
  10. 6
  11. 8
  12. 4
  13. 49
  14. 103
  15. 50
  16. 28
  17. 7
  18. 104
  19. 40
  20. 41
  21. 27
  22. 77
  23. 5
  24. 8
  25. 8
  26. 14
  27. 8
  28. 20
  29. 1
  30. 9
  31. 87
  32. 64
  33. 27
  34. 53
  35. 20
  36. 46
  37. 96
  38. 80
  39. 70
  40. 4

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