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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 486 · 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 ₹41 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 15 kg of the dearer rice?
  2. 2.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.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 1 : 1?
  4. 4.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  5. 5.A grocer mixes 6 kg of tea at ₹56 per kg with 7 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.Rice at ₹78 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  9. 9.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  10. 10.Rice at ₹23 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.A jug has 50 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 ₹79 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.Rice at ₹39 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  14. 14.A grocer mixes 5 kg of tea at ₹40 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  16. 16.Rice at ₹24 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  17. 17.A grocer mixes 2 kg of tea at ₹27 per kg with 10 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  19. 19.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.Rice at ₹40 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.A jug has 10 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 grocer mixes 12 kg of tea at ₹74 per kg with 7 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.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?
  25. 25.Rice at ₹63 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.A grocer mixes 12 kg of tea at ₹33 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 6 kg of tea at ₹69 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  29. 29.Rice at ₹49 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.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?
  31. 31.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  32. 32.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹34 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  34. 34.A grocer mixes 6 kg of tea at ₹50 per kg with 7 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 8 kg of tea at ₹27 per kg with 4 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹49 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 6 kg of tea at ₹76 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?

Answer key

  1. 9
  2. 25
  3. 9
  4. 7
  5. 49
  6. 12
  7. 4
  8. 40
  9. 27
  10. 2
  11. 25
  12. 10
  13. 30
  14. 36
  15. 30
  16. 8
  17. 77
  18. 32
  19. 6
  20. 20
  21. 50
  22. 60
  23. 20
  24. 40
  25. 14
  26. 44
  27. 85
  28. 6
  29. 6
  30. 36
  31. 6
  32. 25
  33. 28
  34. 85
  35. 41
  36. 40
  37. 16
  38. 28
  39. 64
  40. 8

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