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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 817 · 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 ₹34 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.A grocer mixes 3 kg of tea at ₹102 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 20 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?
  4. 4.Rice at ₹67 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.Rice at ₹51 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹46 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.Rice at ₹79 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.Rice at ₹63 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.Rice at ₹40 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  11. 11.Rice at ₹42 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.A grocer mixes 6 kg of tea at ₹59 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 2 kg of tea at ₹76 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.Rice at ₹63 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.A grocer mixes 11 kg of tea at ₹117 per kg with 11 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 3 kg of tea at ₹117 per kg with 2 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  20. 20.Rice at ₹58 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.A 15-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?
  22. 22.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  23. 23.Rice at ₹50 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  24. 24.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  25. 25.A grocer mixes 5 kg of tea at ₹62 per kg with 5 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.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?
  28. 28.Rice at ₹63 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.Rice at ₹52 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.Rice at ₹63 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.A 35-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?
  34. 34.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  35. 35.Rice at ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.A 33-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?
  37. 37.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?
  38. 38.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?
  39. 39.Rice at ₹73 per kg is mixed with rice at ₹145 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 9
  2. 84
  3. 40
  4. 10
  5. 7
  6. 34
  7. 4
  8. 20
  9. 4
  10. 7
  11. 32
  12. 54
  13. 54
  14. 60
  15. 16
  16. 116
  17. 105
  18. 36
  19. 36
  20. 4
  21. 3
  22. 10
  23. 24
  24. 8
  25. 71
  26. 75
  27. 40
  28. 5
  29. 3
  30. 18
  31. 36
  32. 12
  33. 28
  34. 8
  35. 14
  36. 6
  37. 50
  38. 50
  39. 4
  40. 30

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