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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 770 · 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.

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  1. 1.A grocer mixes 12 kg of tea at ₹46 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹52 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 12 kg of the dearer rice?
  3. 3.A grocer mixes 12 kg of tea at ₹74 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹61 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.Rice at ₹48 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  6. 6.A grocer mixes 4 kg of tea at ₹20 per kg with 10 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹77 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  8. 8.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?
  9. 9.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?
  10. 10.A 39-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?
  11. 11.Rice at ₹21 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.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?
  13. 13.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.Rice at ₹26 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  15. 15.A jug has 25 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?
  16. 16.Rice at ₹27 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹49 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 3 kg of tea at ₹60 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹53 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  21. 21.A grocer mixes 2 kg of tea at ₹56 per kg with 8 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹106 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  24. 24.A jug has 10 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?
  25. 25.A grocer mixes 8 kg of tea at ₹68 per kg with 7 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹76 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹101 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹117 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 7 kg of tea at ₹79 per kg with 7 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.A grocer mixes 2 kg of tea at ₹23 per kg with 6 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.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?
  35. 35.A grocer mixes 3 kg of tea at ₹24 per kg with 9 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  37. 37.Rice at ₹74 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  38. 38.Rice at ₹28 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.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?
  40. 40.A grocer mixes 10 kg of tea at ₹44 per kg with 5 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 41
  2. 15
  3. 77
  4. 32
  5. 7
  6. 45
  7. 2
  8. 40
  9. 50
  10. 9
  11. 16
  12. 28
  13. 18
  14. 4
  15. 50
  16. 3
  17. 50
  18. 15
  19. 53
  20. 8
  21. 68
  22. 97
  23. 20
  24. 60
  25. 47
  26. 8
  27. 62
  28. 51
  29. 50
  30. 71
  31. 5
  32. 95
  33. 60
  34. 70
  35. 90
  36. 2
  37. 30
  38. 24
  39. 60
  40. 52

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