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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 535 · 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 ₹54 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  4. 4.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?
  5. 5.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?
  6. 6.A grocer mixes 11 kg of tea at ₹107 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹67 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.Rice at ₹27 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.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?
  10. 10.A jug has 10 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?
  11. 11.Rice at ₹75 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.A grocer mixes 8 kg of tea at ₹45 per kg with 6 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  15. 15.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  16. 16.A grocer mixes 12 kg of tea at ₹52 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹48 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹72 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.Rice at ₹22 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  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 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  25. 25.Rice at ₹35 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  26. 26.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  27. 27.A grocer mixes 10 kg of tea at ₹79 per kg with 10 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 8 kg of tea at ₹111 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.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?
  31. 31.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?
  32. 32.A grocer mixes 4 kg of tea at ₹32 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.Rice at ₹55 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  35. 35.Rice at ₹32 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  36. 36.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 : 7?
  37. 37.A grocer mixes 4 kg of tea at ₹56 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  40. 40.A grocer mixes 6 kg of tea at ₹28 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 1
  2. 10
  3. 3
  4. 50
  5. 50
  6. 87
  7. 15
  8. 10
  9. 28
  10. 40
  11. 6
  12. 63
  13. 40
  14. 4
  15. 4
  16. 47
  17. 1
  18. 20
  19. 4
  20. 2
  21. 30
  22. 20
  23. 50
  24. 28
  25. 8
  26. 36
  27. 55
  28. 66
  29. 50
  30. 50
  31. 60
  32. 58
  33. 25
  34. 42
  35. 7
  36. 6
  37. 74
  38. 10
  39. 10
  40. 38

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