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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 12 · 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 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?
  2. 2.Rice at ₹42 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.A 81-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?
  4. 4.Rice at ₹30 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 10 kg of the dearer rice?
  5. 5.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?
  6. 6.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  7. 7.Rice at ₹75 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 18 kg of the dearer rice?
  8. 8.A 90-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 grocer mixes 6 kg of tea at ₹55 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  11. 11.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?
  12. 12.Rice at ₹49 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.A jug has 20 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?
  14. 14.A grocer mixes 3 kg of tea at ₹84 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 9 kg of tea at ₹106 per kg with 6 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  17. 17.A grocer mixes 6 kg of tea at ₹45 per kg with 9 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.Rice at ₹43 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  20. 20.Rice at ₹24 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.A grocer mixes 12 kg of tea at ₹54 per kg with 12 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹49 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹55 per kg with 6 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 3 kg of tea at ₹108 per kg with 2 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 10 kg of tea at ₹22 per kg with 11 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.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?
  30. 30.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?
  31. 31.A 30-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.Rice at ₹27 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  33. 33.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?
  34. 34.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?
  35. 35.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  36. 36.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A grocer mixes 7 kg of tea at ₹40 per kg with 8 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹35 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  39. 39.Rice at ₹68 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  40. 40.A jug has 20 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?

Answer key

  1. 55
  2. 15
  3. 36
  4. 2
  5. 60
  6. 12
  7. 24
  8. 9
  9. 51
  10. 8
  11. 28
  12. 15
  13. 55
  14. 70
  15. 76
  16. 16
  17. 90
  18. 50
  19. 14
  20. 8
  21. 58
  22. 6
  23. 50
  24. 2
  25. 47
  26. 106
  27. 55
  28. 50
  29. 75
  30. 60
  31. 6
  32. 1
  33. 25
  34. 50
  35. 8
  36. 68
  37. 32
  38. 6
  39. 18
  40. 70

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