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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 124 · 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 ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  2. 2.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?
  3. 3.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  4. 4.Rice at ₹24 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  5. 5.A grocer mixes 10 kg of tea at ₹30 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹66 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.A grocer mixes 7 kg of tea at ₹41 per kg with 7 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹28 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 7 kg of tea at ₹59 per kg with 11 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹33 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  11. 11.A 63-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?
  12. 12.Rice at ₹33 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  14. 14.A grocer mixes 8 kg of tea at ₹96 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A jug has 40 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?
  17. 17.Rice at ₹22 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.Rice at ₹57 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  20. 20.A grocer mixes 3 kg of tea at ₹48 per kg with 9 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  22. 22.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.A jug has 20 litres of a drink that is 10% 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 ₹32 per kg with 5 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 11 kg of tea at ₹31 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹34 per kg with 7 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.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?
  29. 29.Rice at ₹53 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  30. 30.Rice at ₹55 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  33. 33.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?
  34. 34.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?
  35. 35.A grocer mixes 8 kg of tea at ₹30 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 2 kg of tea at ₹40 per kg with 3 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹74 per kg with 7 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹39 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  39. 39.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  40. 40.A grocer mixes 6 kg of tea at ₹75 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 40
  3. 8
  4. 4
  5. 58
  6. 1
  7. 75
  8. 18
  9. 37
  10. 32
  11. 14
  12. 4
  13. 21
  14. 91
  15. 60
  16. 40
  17. 2
  18. 6
  19. 3
  20. 27
  21. 21
  22. 10
  23. 25
  24. 57
  25. 47
  26. 48
  27. 64
  28. 50
  29. 18
  30. 2
  31. 50
  32. 2
  33. 50
  34. 76
  35. 28
  36. 43
  37. 88
  38. 25
  39. 28
  40. 88

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