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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 45 · 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 ₹28 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  2. 2.Rice at ₹45 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.Rice at ₹39 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.A 50-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?
  6. 6.Rice at ₹73 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹115 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  7. 7.Rice at ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  8. 8.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?
  9. 9.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?
  10. 10.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?
  11. 11.Rice at ₹66 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  12. 12.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.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?
  14. 14.Rice at ₹40 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  15. 15.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  16. 16.A grocer mixes 12 kg of tea at ₹113 per kg with 12 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 6 kg of tea at ₹100 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 12 kg of tea at ₹40 per kg with 10 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹33 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  21. 21.Rice at ₹38 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A 21-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?
  23. 23.A grocer mixes 4 kg of tea at ₹32 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 8 kg of tea at ₹43 per kg with 9 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 8 kg of tea at ₹58 per kg with 8 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹26 per kg with 12 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.Rice at ₹35 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹66 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.A grocer mixes 12 kg of tea at ₹32 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹38 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  34. 34.Rice at ₹73 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  36. 36.A grocer mixes 12 kg of tea at ₹88 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹37 per kg with 6 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  39. 39.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?
  40. 40.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?

Answer key

  1. 6
  2. 15
  3. 18
  4. 30
  5. 40
  6. 7
  7. 3
  8. 55
  9. 50
  10. 40
  11. 21
  12. 80
  13. 50
  14. 12
  15. 4
  16. 93
  17. 83
  18. 55
  19. 3
  20. 6
  21. 2
  22. 6
  23. 39
  24. 61
  25. 87
  26. 84
  27. 16
  28. 10
  29. 8
  30. 43
  31. 20
  32. 64
  33. 5
  34. 3
  35. 5
  36. 81
  37. 76
  38. 28
  39. 25
  40. 32

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