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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 240 · 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 11 kg of tea at ₹33 per kg with 2 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.Rice at ₹23 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  4. 4.A grocer mixes 2 kg of tea at ₹56 per kg with 6 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.Rice at ₹46 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  7. 7.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  8. 8.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  9. 9.A grocer mixes 2 kg of tea at ₹38 per kg with 10 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹43 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  11. 11.A 60-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?
  12. 12.A grocer mixes 10 kg of tea at ₹83 per kg with 10 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 8 kg of tea at ₹20 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 6 kg of tea at ₹69 per kg with 9 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹34 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  18. 18.A jug has 40 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?
  19. 19.Rice at ₹66 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.A grocer mixes 9 kg of tea at ₹70 per kg with 9 kg of tea at ₹88 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 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?
  23. 23.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  24. 24.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  25. 25.A jug has 40 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?
  26. 26.Rice at ₹80 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  28. 28.A grocer mixes 2 kg of tea at ₹84 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹60 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 6 kg of the dearer rice?
  30. 30.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A grocer mixes 12 kg of tea at ₹34 per kg with 6 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹63 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  34. 34.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  35. 35.Rice at ₹61 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.A grocer mixes 3 kg of tea at ₹112 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.Rice at ₹52 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.A grocer mixes 9 kg of tea at ₹104 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?

Answer key

  1. 35
  2. 30
  3. 21
  4. 74
  5. 36
  6. 35
  7. 20
  8. 28
  9. 53
  10. 2
  11. 6
  12. 78
  13. 50
  14. 28
  15. 54
  16. 24
  17. 15
  18. 40
  19. 2
  20. 79
  21. 27
  22. 50
  23. 20
  24. 28
  25. 52
  26. 2
  27. 28
  28. 78
  29. 18
  30. 50
  31. 50
  32. 25
  33. 35
  34. 8
  35. 4
  36. 49
  37. 60
  38. 32
  39. 56
  40. 2

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