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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 21 · 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 ₹79 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.A grocer mixes 5 kg of tea at ₹25 per kg with 5 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹22 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  4. 4.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?
  5. 5.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?
  6. 6.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  7. 7.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 7 : 4?
  8. 8.Rice at ₹30 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.A grocer mixes 6 kg of tea at ₹59 per kg with 6 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹38 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  13. 13.A grocer mixes 5 kg of tea at ₹89 per kg with 12 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A jug has 10 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?
  16. 16.A 55-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?
  17. 17.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 : 2?
  18. 18.Rice at ₹33 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.A jug has 50 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?
  20. 20.A grocer mixes 10 kg of tea at ₹20 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.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?
  23. 23.A grocer mixes 10 kg of tea at ₹73 per kg with 6 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 10 kg of tea at ₹59 per kg with 8 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹53 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  26. 26.A grocer mixes 5 kg of tea at ₹52 per kg with 2 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹65 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.A grocer mixes 12 kg of tea at ₹118 per kg with 3 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  30. 30.Rice at ₹48 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.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 5 kg of the dearer rice?
  32. 32.A grocer mixes 12 kg of tea at ₹108 per kg with 8 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  35. 35.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  36. 36.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹70 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 3 kg of the dearer rice?
  38. 38.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?
  39. 39.A 16-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?
  40. 40.A grocer mixes 3 kg of tea at ₹115 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 54
  3. 28
  4. 36
  5. 60
  6. 30
  7. 4
  8. 20
  9. 67
  10. 8
  11. 16
  12. 8
  13. 53
  14. 70
  15. 70
  16. 10
  17. 8
  18. 8
  19. 50
  20. 40
  21. 25
  22. 75
  23. 58
  24. 51
  25. 10
  26. 54
  27. 1
  28. 114
  29. 12
  30. 5
  31. 2
  32. 110
  33. 50
  34. 6
  35. 12
  36. 1
  37. 2
  38. 20
  39. 8
  40. 79

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