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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 843 · 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 ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.Rice at ₹20 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  3. 3.A grocer mixes 2 kg of tea at ₹44 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 18-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?
  5. 5.Rice at ₹29 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A grocer mixes 10 kg of tea at ₹64 per kg with 10 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 12 kg of tea at ₹46 per kg with 12 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹53 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  9. 9.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  10. 10.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A grocer mixes 7 kg of tea at ₹48 per kg with 7 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  14. 14.A grocer mixes 6 kg of tea at ₹111 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹54 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  16. 16.A grocer mixes 10 kg of tea at ₹68 per kg with 10 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 10 kg of tea at ₹40 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A jug has 10 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?
  20. 20.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?
  21. 21.Rice at ₹31 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  22. 22.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?
  23. 23.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?
  24. 24.A grocer mixes 10 kg of tea at ₹90 per kg with 10 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 7 kg of tea at ₹22 per kg with 7 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 7 kg of tea at ₹24 per kg with 2 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  28. 28.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  29. 29.Rice at ₹70 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  31. 31.A jug has 10 litres of a drink that is 40% mango juice. 20 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 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.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 3 : 4?
  34. 34.A jug has 10 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?
  35. 35.A grocer mixes 3 kg of tea at ₹107 per kg with 5 kg of tea at ₹115 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  38. 38.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A grocer mixes 3 kg of tea at ₹44 per kg with 7 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹69 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?

Answer key

  1. 12
  2. 24
  3. 32
  4. 4
  5. 36
  6. 68
  7. 68
  8. 21
  9. 14
  10. 76
  11. 73
  12. 70
  13. 8
  14. 107
  15. 24
  16. 66
  17. 60
  18. 50
  19. 68
  20. 20
  21. 3
  22. 70
  23. 50
  24. 55
  25. 69
  26. 40
  27. 8
  28. 15
  29. 12
  30. 12
  31. 80
  32. 50
  33. 9
  34. 70
  35. 112
  36. 50
  37. 7
  38. 12
  39. 58
  40. 8

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